diff --git a/neural_compressor/torch/algorithms/weight_only/gptq.py b/neural_compressor/torch/algorithms/weight_only/gptq.py
index 51cc819a3c6..916275e4db6 100644
--- a/neural_compressor/torch/algorithms/weight_only/gptq.py
+++ b/neural_compressor/torch/algorithms/weight_only/gptq.py
@@ -25,14 +25,19 @@
 
 import torch
 import torch.nn as nn
-import transformers
 from tqdm import tqdm
 
-from neural_compressor.torch.utils import fetch_module, get_device, logger, set_module
+from neural_compressor.torch.utils import fetch_module, get_device, is_transformers_imported, logger, set_module
 from neural_compressor.torch.utils.auto_accelerator import auto_detect_accelerator
 
 from .modules import WeightOnlyLinear
 
+if is_transformers_imported():
+    import transformers
+
+    SUPPORTED_LAYERS = [nn.Conv2d, nn.Conv1d, nn.Linear, transformers.Conv1D]
+else:
+    SUPPORTED_LAYERS = [nn.Conv2d, nn.Conv1d, nn.Linear]
 DEBUG = False
 accelerator = auto_detect_accelerator()
 
@@ -131,7 +136,7 @@ def trace_gptq_target_blocks(module, module_types=[torch.nn.ModuleList, torch.nn
     return gptq_related_blocks
 
 
-def find_layers(module, layers=[nn.Conv2d, nn.Conv1d, nn.Linear, transformers.Conv1D], name=""):
+def find_layers(module, layers=SUPPORTED_LAYERS, name=""):
     """Get all layers with target types."""
     if type(module) in layers:
         return {name: module}
@@ -147,7 +152,7 @@ def find_layers(module, layers=[nn.Conv2d, nn.Conv1d, nn.Linear, transformers.Co
     return res
 
 
-def find_layers_name(module, layers=[nn.Conv2d, nn.Conv1d, nn.Linear, transformers.Conv1D], name=""):
+def find_layers_name(module, layers=SUPPORTED_LAYERS, name=""):
     """Get all layers with target types."""
     if type(module) in layers:
         return [name]
@@ -157,9 +162,7 @@ def find_layers_name(module, layers=[nn.Conv2d, nn.Conv1d, nn.Linear, transforme
     return res
 
 
-def log_quantizable_layers_per_transformer(
-    transformer_blocks, layers=[nn.Conv2d, nn.Conv1d, nn.Linear, transformers.Conv1D]
-):
+def log_quantizable_layers_per_transformer(transformer_blocks, layers=SUPPORTED_LAYERS):
     """Print all layers which will be quantized in GPTQ algorithm."""
     logger.info("* * Layer to be quantized * *")
 
@@ -734,6 +737,8 @@ def tmp(_, inp, out):
                     Q = sub_layers[layer_name].weight.data
                     if weight_config_this_layer["act_order"]:
                         Q.copy_(Q[:, gptq_perm])
+                    if is_transformers_imported() and isinstance(sub_layers[layer_name], transformers.Conv1D):
+                        Q = Q.t_().contiguous()
                     from .utility import quant_weight_w_scale
 
                     quant_weight_w_scale(
@@ -743,15 +748,24 @@ def tmp(_, inp, out):
                         weight_config_this_layer["group_size"],
                         dtype=weight_config_this_layer["dtype"],
                     )
-                    # import pdb;pdb.set_trace()
                     if weight_config_this_layer["act_order"]:
                         invperm = torch.argsort(gptq_perm)
                         Q.copy_(Q[:, invperm])
                     int_weight = Q.type(torch.int32)  # copy_ is not workable for different types.
                     # replace module
+                    if isinstance(sub_layers[layer_name], torch.nn.Linear):
+                        in_features = sub_layers[layer_name].in_features
+                        out_features = sub_layers[layer_name].out_features
+                    elif is_transformers_imported() and isinstance(sub_layers[layer_name], transformers.Conv1D):
+                        in_features = sub_layers[layer_name].weight.shape[0]
+                        out_features = sub_layers[layer_name].weight.shape[1]
+                        int_weight = sub_layers[layer_name].weight.t_().contiguous()
+                        scale = scale.t_().contiguous()
+                        zp = zp.t_().contiguous() if zp is not None else zp
+
                     new_module = WeightOnlyLinear(
-                        sub_layers[layer_name].in_features,
-                        sub_layers[layer_name].out_features,
+                        in_features,
+                        out_features,
                         dtype=weight_config_this_layer["dtype"],
                         bits=weight_config_this_layer["bits"],
                         group_size=weight_config_this_layer["group_size"],
@@ -790,7 +804,7 @@ def __init__(self, layer, W, device="cpu"):
         # W = layer.weight.data.clone()
         if isinstance(self.layer, nn.Conv2d) or isinstance(self.layer, nn.Conv1d):
             W = W.flatten(1)
-        if isinstance(self.layer, transformers.Conv1D):
+        if is_transformers_imported() and isinstance(self.layer, transformers.Conv1D):
             W = W.t()
         self.rows = W.shape[0]  # output channels
         self.columns = W.shape[1]  # input channels
@@ -806,7 +820,9 @@ def add_batch(self, inp, out):
         if len(inp.shape) == 2:
             inp = inp.unsqueeze(0)
         tmp = inp.shape[0]
-        if isinstance(self.layer, nn.Linear) or isinstance(self.layer, transformers.Conv1D):
+        if isinstance(self.layer, nn.Linear) or (
+            is_transformers_imported() and isinstance(self.layer, transformers.Conv1D)
+        ):
             if len(inp.shape) == 3:
                 inp = inp.reshape((-1, inp.shape[-1]))
             inp = inp.t()
@@ -833,7 +849,7 @@ def fasterquant(self, W, blocksize=128, percdamp=0.01, groupsize=-1, act_order=F
         weight_shape, weight_dtype = W.shape, W.data.dtype
         if isinstance(self.layer, nn.Conv2d):
             W = W.flatten(1)
-        if isinstance(self.layer, transformers.Conv1D):
+        if is_transformers_imported() and isinstance(self.layer, transformers.Conv1D):
             W = W.t()
         W = W.float()
 
@@ -937,7 +953,7 @@ def fasterquant(self, W, blocksize=128, percdamp=0.01, groupsize=-1, act_order=F
             invperm = torch.argsort(perm)
             Q = Q[:, invperm]
 
-        if isinstance(self.layer, transformers.Conv1D):
+        if is_transformers_imported() and isinstance(self.layer, transformers.Conv1D):
             Q = Q.t()
         # self.layer.weight.data = Q.reshape(self.layer.weight.shape).to(self.layer.weight.data.dtype)
         Q = Q.reshape(weight_shape).to(weight_dtype)
diff --git a/neural_compressor/torch/algorithms/weight_only/rtn.py b/neural_compressor/torch/algorithms/weight_only/rtn.py
index e6ad03f1351..9092169b4b1 100644
--- a/neural_compressor/torch/algorithms/weight_only/rtn.py
+++ b/neural_compressor/torch/algorithms/weight_only/rtn.py
@@ -24,10 +24,13 @@
 import torch
 
 from neural_compressor.torch.algorithms import Quantizer
-from neural_compressor.torch.utils import get_device, logger, set_module
+from neural_compressor.torch.utils import get_device, is_transformers_imported, logger, set_module
 
 from .utility import cast_fp8, quant_tensor, search_clip
 
+if is_transformers_imported():
+    import transformers
+
 
 class RTNQuantizer(Quantizer):
     def __init__(self, quant_config: OrderedDict = {}):
@@ -94,7 +97,10 @@ def convert(
         model.to(device)
 
         assert isinstance(model, torch.nn.Module), "only support torch module"
-        supported_layers = (torch.nn.Linear,)
+        if is_transformers_imported():
+            supported_layers = (torch.nn.Linear, transformers.Conv1D)
+        else:
+            supported_layers = (torch.nn.Linear,)
         # initialize global configuration
         double_quant_config = {
             "double_quant": kwargs.get("use_double_quant", False),
@@ -153,7 +159,12 @@ def convert(
                 continue
             logger.debug(f"RTN quantized module:{name, m}")
             logger.debug(log_msg)
-            if group_dim == 0:
+            # for only group_dim is 0 or only `transformers.Conv1D`, we need transpose weight.
+            if is_transformers_imported():
+                transpose = (group_dim == 0) ^ (isinstance(m, transformers.Conv1D))
+            else:
+                transpose = group_dim == 0
+            if transpose:
                 weight = m.weight.t_().contiguous()
             else:
                 weight = m.weight
@@ -171,14 +182,23 @@ def convert(
                     full_range=use_full_range,
                     **double_quant_config,
                 )
-                int_weight = int_weight.t_().contiguous() if group_dim == 0 else int_weight
-                scale = scale.t_().contiguous() if group_dim == 0 else scale
-                zp = zp.t_().contiguous() if group_dim == 0 and zp is not None else zp
+                int_weight = int_weight.t_().contiguous() if transpose else int_weight
+                scale = scale.t_().contiguous() if transpose else scale
+                zp = zp.t_().contiguous() if transpose and zp is not None else zp
+                if isinstance(m, torch.nn.Linear):
+                    in_features = m.in_features
+                    out_features = m.out_features
+                elif is_transformers_imported() and isinstance(m, transformers.Conv1D):
+                    in_features = m.weight.shape[1]
+                    out_features = m.weight.shape[0]
+                    int_weight = int_weight.t_().contiguous()
+                    scale = scale.t_().contiguous()
+                    zp = zp.t_().contiguous() if zp is not None else zp
                 from .modules import WeightOnlyLinear
 
                 new_module = WeightOnlyLinear(
-                    m.in_features,
-                    m.out_features,
+                    in_features,
+                    out_features,
                     dtype=dtype,
                     bits=bits,
                     group_size=group_size,
@@ -203,8 +223,9 @@ def convert(
                     full_range=use_full_range,
                     **double_quant_config,
                 )
-                if group_dim == 0:
-                    # for group_dim is 0, we need to transpose the quantized tensor and module's weight back
+                if transpose:
+                    # for only group_dim is 0 or only `transformers.Conv1D`,
+                    # we need to transpose the quantized tensor and module's weight back
                     weight = weight.t_().contiguous()
                     m.weight.t_().contiguous()
                 m.weight.data.copy_(weight)
diff --git a/neural_compressor/torch/algorithms/weight_only/teq.py b/neural_compressor/torch/algorithms/weight_only/teq.py
index 90671c14f12..827203367ae 100644
--- a/neural_compressor/torch/algorithms/weight_only/teq.py
+++ b/neural_compressor/torch/algorithms/weight_only/teq.py
@@ -20,14 +20,16 @@
 from typing import Any
 
 import torch
-import transformers
 
 from neural_compressor.torch.algorithms.base_algorithm import Quantizer
-from neural_compressor.torch.utils import get_device, logger
+from neural_compressor.torch.utils import get_device, is_transformers_imported, logger
 
 from .modules import MulLinear, TEQLinearFakeQuant
 from .utility import get_module, quant_tensor, set_module
 
+if is_transformers_imported():
+    import transformers
+
 __all__ = ["TrainableEquivalentTransformation", "TEQuantizer"]
 
 
diff --git a/neural_compressor/torch/quantization/config.py b/neural_compressor/torch/quantization/config.py
index b909cc0fe66..dc850b04d2c 100644
--- a/neural_compressor/torch/quantization/config.py
+++ b/neural_compressor/torch/quantization/config.py
@@ -43,7 +43,7 @@
     STATIC_QUANT,
     TEQ,
 )
-from neural_compressor.torch.utils import is_hpex_available, is_ipex_imported, logger
+from neural_compressor.torch.utils import is_hpex_available, is_ipex_imported, is_transformers_imported, logger
 from neural_compressor.torch.utils.constants import (
     PRIORITY_AUTOROUND,
     PRIORITY_AWQ,
@@ -66,6 +66,12 @@
 
 
 FRAMEWORK_NAME = "torch"
+if is_transformers_imported():
+    import transformers
+
+    WOQ_WHITE_LIST = (torch.nn.Linear, transformers.Conv1D)
+else:
+    WOQ_WHITE_LIST = (torch.nn.Linear,)
 
 
 class OperatorConfig(NamedTuple):
@@ -193,10 +199,9 @@ def register_supported_configs(cls) -> List[OperatorConfig]:
 
     @staticmethod
     def get_model_info(model: torch.nn.Module) -> List[Tuple[str, Callable]]:
-        white_list = (torch.nn.Linear,)
         filter_result = []
         for op_name, module in model.named_modules():
-            if isinstance(module, white_list):
+            if isinstance(module, WOQ_WHITE_LIST):
                 pair = (op_name, type(module).__name__)
                 filter_result.append(pair)
         logger.debug(f"Get model info: {filter_result}")
@@ -339,10 +344,9 @@ def register_supported_configs(cls) -> List[OperatorConfig]:
 
     @staticmethod
     def get_model_info(model: torch.nn.Module) -> List[Tuple[str, Callable]]:
-        white_list = (torch.nn.Linear,)
         filter_result = []
         for op_name, module in model.named_modules():
-            if isinstance(module, white_list):
+            if isinstance(module, WOQ_WHITE_LIST):
                 pair = (op_name, type(module).__name__)
                 filter_result.append(pair)
         logger.debug(f"Get model info: {filter_result}")
@@ -472,10 +476,9 @@ def register_supported_configs(cls) -> List[OperatorConfig]:
 
     @staticmethod
     def get_model_info(model: torch.nn.Module) -> List[Tuple[str, Callable]]:
-        white_list = (torch.nn.Linear,)
         filter_result = []
         for op_name, module in model.named_modules():
-            if isinstance(module, white_list):
+            if isinstance(module, WOQ_WHITE_LIST):
                 pair = (op_name, type(module).__name__)
                 filter_result.append(pair)
         logger.debug(f"Get model info: {filter_result}")
@@ -597,10 +600,9 @@ def register_supported_configs(cls) -> List[OperatorConfig]:
 
     @staticmethod
     def get_model_info(model: torch.nn.Module) -> List[Tuple[str, Callable]]:
-        white_list = (torch.nn.Linear,)
         filter_result = []
         for op_name, module in model.named_modules():
-            if isinstance(module, white_list):
+            if isinstance(module, WOQ_WHITE_LIST):
                 pair = (op_name, type(module).__name__)
                 filter_result.append(pair)
         logger.debug(f"Get model info: {filter_result}")
@@ -743,10 +745,9 @@ def register_supported_configs(cls) -> List[OperatorConfig]:
 
     @staticmethod
     def get_model_info(model: torch.nn.Module) -> List[Tuple[str, Callable]]:
-        white_list = (torch.nn.Linear,)
         filter_result = []
         for op_name, module in model.named_modules():
-            if isinstance(module, white_list):
+            if isinstance(module, WOQ_WHITE_LIST):
                 pair = (op_name, type(module).__name__)
                 filter_result.append(pair)
         logger.debug(f"Get model info: {filter_result}")
@@ -1071,10 +1072,9 @@ def __init__(
 
     @staticmethod
     def get_model_info(model: torch.nn.Module) -> List[Tuple[str, Callable]]:
-        white_list = (torch.nn.Linear,)
         filter_result = []
         for op_name, module in model.named_modules():
-            if isinstance(module, white_list):
+            if isinstance(module, WOQ_WHITE_LIST):
                 pair = (op_name, type(module).__name__)
                 filter_result.append(pair)
         return filter_result
diff --git a/neural_compressor/torch/utils/environ.py b/neural_compressor/torch/utils/environ.py
index b787febf40d..090897d5e5e 100644
--- a/neural_compressor/torch/utils/environ.py
+++ b/neural_compressor/torch/utils/environ.py
@@ -74,6 +74,13 @@ def is_ipex_imported() -> bool:
     return False
 
 
+def is_transformers_imported() -> bool:
+    for name, _ in sys.modules.items():
+        if name == "transformers":
+            return True
+    return False
+
+
 def get_device(device_name="auto"):
     from neural_compressor.torch.utils.auto_accelerator import auto_detect_accelerator
 
diff --git a/test/3x/torch/quantization/weight_only/test_autoround.py b/test/3x/torch/quantization/weight_only/test_autoround.py
index d8c0027c844..6ff08696a01 100644
--- a/test/3x/torch/quantization/weight_only/test_autoround.py
+++ b/test/3x/torch/quantization/weight_only/test_autoround.py
@@ -4,6 +4,7 @@
 import pytest
 import torch
 import transformers
+from packaging.version import Version
 
 from neural_compressor.torch.algorithms.weight_only.autoround import AutoRoundQuantizer, get_autoround_default_run_fn
 from neural_compressor.torch.quantization import (
@@ -18,6 +19,10 @@
 try:
     import auto_round
 
+    AUTO_ROUND_VERSION_0_11 = Version("0.11")
+
+    auto_round_version = auto_round.__version__.split("+")[0]
+    auto_round_version = Version(auto_round_version)
     auto_round_installed = True
 except ImportError:
     auto_round_installed = False
@@ -146,3 +151,37 @@ def test_save_and_load(self):
         loaded_model = load("saved_results")
         loaded_out = loaded_model(self.inp)[0]
         assert torch.allclose(inc_out, loaded_out), "Unexpected result. Please double check."
+
+    @pytest.mark.skipif(auto_round_version <= AUTO_ROUND_VERSION_0_11, reason="Requires auto_round>=0.11")
+    def test_conv1d(self):
+        input = torch.randn(1, 32)
+        from transformers import GPT2Model, GPT2Tokenizer
+
+        tokenizer = GPT2Tokenizer.from_pretrained("sshleifer/tiny-gpt2")
+        model = GPT2Model.from_pretrained("sshleifer/tiny-gpt2")
+        text = "Replace me by any text you'd like."
+        encoded_input = tokenizer(text, return_tensors="pt")
+        out1 = model(**encoded_input)[0]
+        run_fn = get_autoround_default_run_fn
+        run_args = (
+            tokenizer,
+            "NeelNanda/pile-10k",
+            20,
+            10,
+        )
+        weight_config = {
+            "*": {
+                "data_type": "int",
+                "bits": 4,
+                "group_size": 32,
+                "sym": False,
+            }
+        }
+        quantizer = AutoRoundQuantizer(quant_config=weight_config)
+
+        # quantizer execute
+        model = quantizer.prepare(model=model)
+        run_fn(model, *run_args)
+        q_model = quantizer.convert(model)
+        out2 = q_model(**encoded_input)[0]
+        assert torch.allclose(out2, out1, atol=0.01), "Accuracy gap atol > 0.01 is unexpected."
diff --git a/test/3x/torch/quantization/weight_only/test_gptq.py b/test/3x/torch/quantization/weight_only/test_gptq.py
index 3aa63635eaa..9a38234b349 100644
--- a/test/3x/torch/quantization/weight_only/test_gptq.py
+++ b/test/3x/torch/quantization/weight_only/test_gptq.py
@@ -192,6 +192,27 @@ def test_double_quant_params(self, dtype, double_quant_bits, double_quant_group_
         except:
             assert torch.allclose(atol_false, atol_true, atol=0.008), "atol is very close, double checked the logic."
 
+    def test_conv1d(self):
+        from transformers import GPT2Model, GPT2Tokenizer
+
+        tokenizer = GPT2Tokenizer.from_pretrained("sshleifer/tiny-gpt2")
+        model = GPT2Model.from_pretrained("sshleifer/tiny-gpt2")
+        text = "Replace me by any text you'd like."
+        encoded_input = tokenizer(text, return_tensors="pt")
+
+        def run_fn_conv1d(model):
+            with pytest.raises(ValueError):
+                for i in range(2):
+                    model(**encoded_input)
+
+        quant_config = get_default_gptq_config()
+        out1 = model(**encoded_input)[0]
+        model = prepare(model, quant_config)
+        run_fn_conv1d(model)
+        q_model = convert(model)
+        out2 = q_model(**encoded_input)[0]
+        assert torch.allclose(out2, out1, atol=0.01), "Accuracy gap atol > 0.01 is unexpected."
+
     def test_save_and_load(self):
         fp32_model = copy.deepcopy(self.tiny_gptj)
         quant_config = get_default_gptq_config()
diff --git a/test/3x/torch/quantization/weight_only/test_rtn.py b/test/3x/torch/quantization/weight_only/test_rtn.py
index 80bd512463c..ae92e4a935c 100644
--- a/test/3x/torch/quantization/weight_only/test_rtn.py
+++ b/test/3x/torch/quantization/weight_only/test_rtn.py
@@ -16,6 +16,20 @@
 )
 
 
+class ModelConv1d(torch.nn.Module):
+    def __init__(self):
+        super(ModelConv1d, self).__init__()
+        self.fc1 = transformers.Conv1D(50, 32)
+        self.fc2 = torch.nn.Linear(50, 32)
+        self.fc3 = torch.nn.Linear(32, 5)
+
+    def forward(self, x):
+        out = self.fc1(x)
+        out = self.fc2(out)
+        out = self.fc3(out)
+        return out
+
+
 class TestRTNQuant:
     def setup_class(self):
         self.tiny_gptj = transformers.AutoModelForCausalLM.from_pretrained(
@@ -223,6 +237,39 @@ def test_rtn_with_quantize_API(self):
             output_1.eq(output_2)
         ), "The results of calling `convert` + `prepare` and calling `quantize` should be equal."
 
+    # TODO: (4, True, 32, 0), group_dim=0, format not supported
+    @pytest.mark.parametrize(
+        "bits, use_sym, group_size, group_dim",
+        [
+            (8, True, 128, 1),
+            (4, True, 128, 1),
+            (4, False, 32, 1),
+            (4, False, -1, 1),
+            (2, True, 8, 1),
+        ],
+    )
+    def test_conv1d(self, bits, use_sym, group_size, group_dim):
+        model = ModelConv1d()
+        input = torch.randn(1, 32)
+        quant_config = RTNConfig(
+            bits=bits,
+            use_sym=use_sym,
+            group_size=group_size,
+            group_dim=group_dim,
+        )
+        out1 = model(input)
+        model = prepare(model, quant_config)
+        model = convert(model)
+        out2 = model(input)
+        # assert torch.allclose(out2, out1, atol=0.01), "Accuracy gap atol > 0.01 is unexpected."
+        assert (out2 != out1).all(), "WOQ out2put should be different with raw output"
+        if (bits, use_sym, group_size, group_dim) == (8, True, 128, 1):
+            assert torch.allclose(out2, out1, atol=0.01), "Accuracy gap atol > 0.01 is unexpected."
+        if (bits, use_sym, group_size, group_dim) == [(4, True, 128, 0), (4, True, 32, 1)]:
+            assert torch.allclose(out2, out1, atol=0.1), "Accuracy gap atol > 0.1 is unexpected."
+        if (bits, use_sym, group_size, group_dim) == [(4, False, 32, 0), (4, False, -1, 1), (2, True, 8, 1)]:
+            assert torch.allclose(out2, out1, atol=0.5), "Accuracy gap atol > 0.5 is unexpected."
+
     def test_save_and_load(self):
         fp32_model = copy.deepcopy(self.tiny_gptj)
         quant_config = get_default_rtn_config()