diff --git a/src/lightning/fabric/CHANGELOG.md b/src/lightning/fabric/CHANGELOG.md
index 507cb7936f7b3..471e50a0dd8b6 100644
--- a/src/lightning/fabric/CHANGELOG.md
+++ b/src/lightning/fabric/CHANGELOG.md
@@ -30,6 +30,9 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 - Added a warning when calling methods on `_FabricModule` that bypass the strategy-specific wrappers ([#17424](https://github.com/Lightning-AI/lightning/pull/17424))
 
 
+- Run the DDP wrapper in a CUDA stream ([#17334](https://github.com/Lightning-AI/lightning/pull/17334))
+
+
 ### Changed
 
 - Allow using iterable-style datasets with TPUs ([#17331](https://github.com/Lightning-AI/lightning/pull/17331))
diff --git a/src/lightning/fabric/strategies/ddp.py b/src/lightning/fabric/strategies/ddp.py
index 1dee4d3d3b7ba..5998cd638b556 100644
--- a/src/lightning/fabric/strategies/ddp.py
+++ b/src/lightning/fabric/strategies/ddp.py
@@ -11,7 +11,7 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
-from contextlib import contextmanager
+from contextlib import contextmanager, nullcontext
 from datetime import timedelta
 from typing import Any, Dict, Generator, List, Literal, Optional, Union
 
@@ -113,7 +113,12 @@ def setup_environment(self) -> None:
 
     def setup_module(self, module: Module) -> DistributedDataParallel:
         """Wraps the model into a :class:`~torch.nn.parallel.distributed.DistributedDataParallel` module."""
-        return DistributedDataParallel(module=module, device_ids=self._determine_ddp_device_ids(), **self._ddp_kwargs)
+        # https://pytorch.org/docs/stable/notes/cuda.html#id5
+        ctx = torch.cuda.stream(torch.cuda.Stream()) if torch.cuda.is_available() else nullcontext()
+        with ctx:
+            return DistributedDataParallel(
+                module=module, device_ids=self._determine_ddp_device_ids(), **self._ddp_kwargs
+            )
 
     def module_to_device(self, module: Module) -> None:
         module.to(self.root_device)
diff --git a/src/lightning/pytorch/CHANGELOG.md b/src/lightning/pytorch/CHANGELOG.md
index fc3bf6ba9b4a0..c33e4efbf8bb9 100644
--- a/src/lightning/pytorch/CHANGELOG.md
+++ b/src/lightning/pytorch/CHANGELOG.md
@@ -32,6 +32,9 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 - Update `LightningDataModule.from_datasets` to support arbitrary iterables ([#17402](https://github.com/Lightning-AI/lightning/pull/17402))
 
 
+- Run the DDP wrapper in a CUDA stream ([#17334](https://github.com/Lightning-AI/lightning/pull/17334))
+
+
 ### Changed
 
 - Removed the limitation to call `self.trainer.model.parameters()` in `LightningModule.configure_optimizers()` ([#17309](https://github.com/Lightning-AI/lightning/pull/17309))
@@ -53,6 +56,9 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 
 - Increased the minimum XLA requirement to 1.13 ([#17368](https://github.com/Lightning-AI/lightning/pull/17368))
 
+
+- `self.log`ed tensors are now kept in the original device to reduce unnecessary host-to-device synchronizations ([#17334](https://github.com/Lightning-AI/lightning/pull/17334))
+
 ### Deprecated
 
 -
diff --git a/src/lightning/pytorch/core/module.py b/src/lightning/pytorch/core/module.py
index 6a580aeafbed5..c150206772e43 100644
--- a/src/lightning/pytorch/core/module.py
+++ b/src/lightning/pytorch/core/module.py
@@ -607,11 +607,7 @@ def __check_allowed(v: Any, name: str, value: Any) -> None:
         raise ValueError(f"`self.log({name}, {value})` was called, but `{type(v).__name__}` values cannot be logged")
 
     def __to_tensor(self, value: Union[Tensor, numbers.Number], name: str) -> Tensor:
-        value = (
-            value.clone().detach().to(self.device)
-            if isinstance(value, Tensor)
-            else torch.tensor(value, device=self.device)
-        )
+        value = value.clone().detach() if isinstance(value, Tensor) else torch.tensor(value, device=self.device)
         if not torch.numel(value) == 1:
             raise ValueError(
                 f"`self.log({name}, {value})` was called, but the tensor must have a single element."
diff --git a/src/lightning/pytorch/loops/evaluation_loop.py b/src/lightning/pytorch/loops/evaluation_loop.py
index 7903a5c4597f3..14f39e5c0fa08 100644
--- a/src/lightning/pytorch/loops/evaluation_loop.py
+++ b/src/lightning/pytorch/loops/evaluation_loop.py
@@ -309,9 +309,6 @@ def _on_evaluation_start(self, *args: Any, **kwargs: Any) -> None:
         """Runs ``on_{validation/test}_start`` hooks."""
         trainer = self.trainer
 
-        assert self._results is not None
-        self._results.to(device=trainer.lightning_module.device)
-
         hook_name = "on_test_start" if trainer.testing else "on_validation_start"
         call._call_callback_hooks(trainer, hook_name, *args, **kwargs)
         call._call_lightning_module_hook(trainer, hook_name, *args, **kwargs)
diff --git a/src/lightning/pytorch/loops/fit_loop.py b/src/lightning/pytorch/loops/fit_loop.py
index c317e92840abe..16c11ba45c677 100644
--- a/src/lightning/pytorch/loops/fit_loop.py
+++ b/src/lightning/pytorch/loops/fit_loop.py
@@ -309,8 +309,6 @@ def on_run_start(self) -> None:
 
         self._data_fetcher = _select_data_fetcher(trainer)
 
-        self._results.to(device=trainer.lightning_module.device)
-
         call._call_callback_hooks(trainer, "on_train_start")
         call._call_lightning_module_hook(trainer, "on_train_start")
         call._call_strategy_hook(trainer, "on_train_start")
diff --git a/src/lightning/pytorch/strategies/ddp.py b/src/lightning/pytorch/strategies/ddp.py
index 01fa3b25264dd..8ac5b16c6ef61 100644
--- a/src/lightning/pytorch/strategies/ddp.py
+++ b/src/lightning/pytorch/strategies/ddp.py
@@ -12,6 +12,7 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 import logging
+from contextlib import nullcontext
 from datetime import timedelta
 from typing import Any, Callable, Dict, List, Literal, Optional, Union
 
@@ -182,7 +183,10 @@ def _setup_model(self, model: Module) -> DistributedDataParallel:
         """Wraps the model into a :class:`~torch.nn.parallel.distributed.DistributedDataParallel` module."""
         device_ids = self.determine_ddp_device_ids()
         log.debug(f"setting up DDP model with device ids: {device_ids}, kwargs: {self._ddp_kwargs}")
-        return DistributedDataParallel(module=model, device_ids=device_ids, **self._ddp_kwargs)
+        # https://pytorch.org/docs/stable/notes/cuda.html#id5
+        ctx = torch.cuda.stream(torch.cuda.Stream()) if torch.cuda.is_available() else nullcontext()
+        with ctx:
+            return DistributedDataParallel(module=model, device_ids=device_ids, **self._ddp_kwargs)
 
     def setup_distributed(self) -> None:
         log.debug(f"{self.__class__.__name__}: setting up distributed...")
diff --git a/src/lightning/pytorch/trainer/connectors/logger_connector/result.py b/src/lightning/pytorch/trainer/connectors/logger_connector/result.py
index b023d0ef39d38..d7446d1d6f382 100644
--- a/src/lightning/pytorch/trainer/connectors/logger_connector/result.py
+++ b/src/lightning/pytorch/trainer/connectors/logger_connector/result.py
@@ -23,7 +23,6 @@
 
 from lightning.fabric.utilities import move_data_to_device
 from lightning.fabric.utilities.apply_func import convert_tensors_to_scalars
-from lightning.fabric.utilities.device_dtype_mixin import _DeviceDtypeModuleMixin
 from lightning.fabric.utilities.imports import _TORCH_EQUAL_2_0, _TORCH_GREATER_EQUAL_2_0
 from lightning.pytorch.utilities.data import extract_batch_size
 from lightning.pytorch.utilities.exceptions import MisconfigurationException
@@ -180,7 +179,7 @@ def is_custom_reduction(self) -> bool:
         return not (self.is_mean_reduction or self.is_max_reduction or self.is_min_reduction or self.is_sum_reduction)
 
 
-class _ResultMetric(Metric, _DeviceDtypeModuleMixin):  # type: ignore[misc]  # torchmetrics methods should return Self
+class _ResultMetric(Metric):
     """Wraps the value provided to `:meth:`~lightning.pytorch.core.module.LightningModule.log`"""
 
     def __init__(self, metadata: _Metadata, is_tensor: bool) -> None:
@@ -314,10 +313,9 @@ class _ResultCollection(dict):
 
     DATALOADER_SUFFIX = "/dataloader_idx_{}"
 
-    def __init__(self, training: bool, device: Optional[Union[str, torch.device]] = None) -> None:
+    def __init__(self, training: bool) -> None:
         super().__init__()
         self.training = training
-        self.device: Optional[Union[str, torch.device]] = device
         self.batch: Optional[Any] = None
         self.batch_size: Optional[int] = None
         self.dataloader_idx: Optional[int] = None
@@ -410,13 +408,13 @@ def register_key(self, key: str, meta: _Metadata, value: _VALUE) -> None:
 
         Value can be provided as a nested collection
         """
-        metric = _ResultMetric(meta, isinstance(value, Tensor)).to(self.device)
+        metric = _ResultMetric(meta, isinstance(value, Tensor)).to(value.device)
         self[key] = metric
 
     def update_metrics(self, key: str, value: _VALUE, batch_size: int) -> None:
         result_metric = self[key]
         # performance: avoid calling `__call__` to avoid the checks in `torch.nn.Module._call_impl`
-        result_metric.forward(value.to(self.device), batch_size)
+        result_metric.forward(value, batch_size)
         result_metric.has_reset = False
 
     @staticmethod
@@ -509,9 +507,6 @@ def reset(self, metrics: Optional[bool] = None, fx: Optional[str] = None) -> Non
     def to(self, *args: Any, **kwargs: Any) -> "_ResultCollection":
         """Move all data to the given device."""
         self.update(apply_to_collection(dict(self), (Tensor, Metric), move_data_to_device, *args, **kwargs))
-
-        if "device" in kwargs:
-            self.device = kwargs["device"]
         return self
 
     def cpu(self) -> "_ResultCollection":
@@ -524,4 +519,4 @@ def __str__(self) -> str:
         return f"{self.__class__.__name__}({self_str})"
 
     def __repr__(self) -> str:
-        return f"{{{self.training}, {repr(self.device)}, {super().__repr__()}}}"
+        return f"{{{self.training}, {super().__repr__()}}}"
diff --git a/tests/tests_pytorch/core/test_metric_result_integration.py b/tests/tests_pytorch/core/test_metric_result_integration.py
index 2cf8a146326df..dbdc03bfbc959 100644
--- a/tests/tests_pytorch/core/test_metric_result_integration.py
+++ b/tests/tests_pytorch/core/test_metric_result_integration.py
@@ -67,7 +67,7 @@ def result_reduce_ddp_fn(strategy):
     metric_b = metric_b.to(f"cuda:{rank}")
     metric_c = metric_c.to(f"cuda:{rank}")
 
-    result = _ResultCollection(True, torch.device(f"cuda:{rank}"))
+    result = _ResultCollection(True)
 
     for _ in range(3):
         cumulative_sum = 0
@@ -107,7 +107,7 @@ def test_result_metric_integration():
     metric_b = DummyMetric()
     metric_c = DummyMetric()
 
-    result = _ResultCollection(True, torch.device("cpu"))
+    result = _ResultCollection(True)
 
     for _ in range(3):
         cumulative_sum = 0
@@ -148,7 +148,6 @@ def test_result_metric_integration():
     assert repr(result) == (
         "{"
         "True, "
-        "device(type='cpu'), "
         "{'h.a': _ResultMetric('a', value=DummyMetric()), "
         "'h.b': _ResultMetric('b', value=DummyMetric()), "
         "'h.c': _ResultMetric('c', value=DummyMetric())"
@@ -157,7 +156,7 @@ def test_result_metric_integration():
 
 
 def test_result_collection_simple_loop():
-    result = _ResultCollection(True, torch.device("cpu"))
+    result = _ResultCollection(True)
     current_fx_name = None
     batch_idx = None
 
@@ -205,7 +204,7 @@ def my_sync_dist(x, *_, **__):
 def test_result_collection_restoration(tmpdir):
     """This test make sure metrics are properly reloaded on failure."""
 
-    result = _ResultCollection(True, torch.device("cpu"))
+    result = _ResultCollection(True)
     metric_a = DummyMetric()
     metric_b = DummyMetric()
     metric_c = DummyMetric()
diff --git a/tests/tests_pytorch/trainer/logging_/test_eval_loop_logging.py b/tests/tests_pytorch/trainer/logging_/test_eval_loop_logging.py
index 4a2f6a31bd6ad..2b050d0b06eea 100644
--- a/tests/tests_pytorch/trainer/logging_/test_eval_loop_logging.py
+++ b/tests/tests_pytorch/trainer/logging_/test_eval_loop_logging.py
@@ -204,9 +204,9 @@ def on_validation_epoch_end(self) -> None:
     assert set(trainer.callback_metrics) == {"val_loss", "val_loss_epoch"}
 
     # make sure values are correct
-    assert trainer.logged_metrics["val_loss_epoch"] == model.manual_epoch_end_mean
-    assert trainer.callback_metrics["val_loss_epoch"] == model.manual_epoch_end_mean
-    assert trainer.callback_metrics["val_loss"] == model.manual_epoch_end_mean
+    assert torch.allclose(trainer.logged_metrics["val_loss_epoch"], model.manual_epoch_end_mean)
+    assert torch.allclose(trainer.callback_metrics["val_loss_epoch"], model.manual_epoch_end_mean)
+    assert torch.allclose(trainer.callback_metrics["val_loss"], model.manual_epoch_end_mean)
     assert trainer.logged_metrics["val_loss_step"] == model.val_losses[-1]
 
 
diff --git a/tests/tests_pytorch/trainer/logging_/test_logger_connector.py b/tests/tests_pytorch/trainer/logging_/test_logger_connector.py
index 4796552652554..4a9ff8b5eab7f 100644
--- a/tests/tests_pytorch/trainer/logging_/test_logger_connector.py
+++ b/tests/tests_pytorch/trainer/logging_/test_logger_connector.py
@@ -605,7 +605,7 @@ def test_result_collection_batch_size_extraction():
     fx_name = "training_step"
     log_val = torch.tensor(7.0)
 
-    results = _ResultCollection(training=True, device="cpu")
+    results = _ResultCollection(training=True)
     results.batch = torch.randn(1, 4)
     train_mse = MeanSquaredError()
     train_mse(torch.randn(4, 5), torch.randn(4, 5))
@@ -615,7 +615,7 @@ def test_result_collection_batch_size_extraction():
     assert isinstance(results["training_step.mse"].value, MeanSquaredError)
     assert results["training_step.log_val"].value == log_val
 
-    results = _ResultCollection(training=True, device="cpu")
+    results = _ResultCollection(training=True)
     results.batch = torch.randn(1, 4)
     results.log(fx_name, "train_log", log_val, on_step=False, on_epoch=True)
     assert results.batch_size == 1
@@ -624,7 +624,7 @@ def test_result_collection_batch_size_extraction():
 
 
 def test_result_collection_no_batch_size_extraction():
-    results = _ResultCollection(training=True, device="cpu")
+    results = _ResultCollection(training=True)
     results.batch = torch.randn(1, 4)
     fx_name = "training_step"
     batch_size = 10