diff --git a/.gitignore b/.gitignore
index b41c71a..298a242 100644
--- a/.gitignore
+++ b/.gitignore
@@ -30,3 +30,4 @@ Pipfile
 test/core.*
 .eggs/
 .idea/
+.vs/
diff --git a/src/frozendict/cool.py b/src/frozendict/cool.py
index 8639059..b38d027 100644
--- a/src/frozendict/cool.py
+++ b/src/frozendict/cool.py
@@ -287,10 +287,15 @@ def deepfreeze(
             custom_inverse_converters = custom_inverse_converters
         )
     
-    if frozen_type:
-        return type_o(o)
+    try:
+        freeze = freeze_conversion_map[base_type_o]
+    except KeyError:
+        if frozen_type:
+            freeze = type_o
+        else:
+            raise
     
-    return freeze_conversion_map[base_type_o](o)
+    return freeze(o)
 
 
 __all__ = (
diff --git a/test/test_freeze.py b/test/test_freeze.py
index 1e466e6..fcd85a3 100644
--- a/test/test_freeze.py
+++ b/test/test_freeze.py
@@ -2,6 +2,7 @@
 import frozendict as cool
 from frozendict import frozendict
 from collections import OrderedDict
+from collections.abc import MutableSequence, Sequence
 from array import array
 from types import MappingProxyType
 from frozendict import FreezeError, FreezeWarning
@@ -12,6 +13,38 @@ def __init__(self, x):
         self.x = x
 
 
+class BaseSeq(Sequence):
+
+    def __init__(self, seq):
+        self._items = list(seq)
+        
+    def __getitem__(self, i):
+        return self._items[i]
+    
+    def __len__(self):
+        return len(self._items)    
+
+
+class FrozenSeqA(BaseSeq):
+    pass
+
+
+class FrozenSeqB(BaseSeq):
+    pass
+
+
+class MutableSeq(BaseSeq, MutableSequence):
+    
+    def __delitem__(self, i):
+        del self._items[i]
+    
+    def __setitem__(self, i, v):
+        self._items[i] = v
+        
+    def insert(self, index, value):
+        self._items.insert(index, value)
+
+
 def custom_a_converter(a):
     return frozendict(**a.__dict__, y="mbuti")
 
@@ -138,3 +171,14 @@ def test_register_inverse(before_cure_inverse, after_cure_inverse):
         )
     
     assert cool.deepfreeze(before_cure_inverse) == after_cure_inverse
+
+
+def test_prefer_forward():
+    assert isinstance(
+        cool.deepfreeze(
+            [FrozenSeqA((0, 1, 2))],
+            custom_converters={FrozenSeqA: FrozenSeqB},
+            custom_inverse_converters={FrozenSeqA: MutableSeq}
+            )[0],
+        FrozenSeqB
+        )
\ No newline at end of file