diff --git a/src/accelerate/hooks.py b/src/accelerate/hooks.py
index b9bc2a86215..a42a64e3e94 100644
--- a/src/accelerate/hooks.py
+++ b/src/accelerate/hooks.py
@@ -156,16 +156,17 @@ def add_hook_to_module(module: nn.Module, hook: ModelHook, append: bool = False)
     module._hf_hook = hook
 
     @functools.wraps(old_forward)
-    def new_forward(*args, **kwargs):
-        args, kwargs = module._hf_hook.pre_forward(module, *args, **kwargs)
-        if module._hf_hook.no_grad:
+    def new_forward(self, *args, **kwargs):
+        args, kwargs = self._hf_hook.pre_forward(self, *args, **kwargs)
+        if self._hf_hook.no_grad:
             with torch.no_grad():
-                output = old_forward(*args, **kwargs)
+                output = self._old_forward(*args, **kwargs)
         else:
-            output = old_forward(*args, **kwargs)
-        return module._hf_hook.post_forward(module, output)
+            output = self._old_forward(*args, **kwargs)
+        return self._hf_hook.post_forward(self, output)
+
+    module.forward = new_forward.__get__(module)
 
-    module.forward = new_forward
     return module
 
 
diff --git a/tests/test_big_modeling.py b/tests/test_big_modeling.py
index a4f6a671be3..d8d31d57651 100644
--- a/tests/test_big_modeling.py
+++ b/tests/test_big_modeling.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.
-
+import copy
 import os
 import unittest
 from tempfile import TemporaryDirectory
@@ -45,6 +45,18 @@ def forward(self, x):
         return self.linear2(self.batchnorm(self.linear1(x)))
 
 
+class ModelForTestCopy(nn.Module):
+    def __init__(self, id: int):
+        super().__init__()
+        self.id = id
+        self.linear1 = nn.Linear(3, 4)
+        self.batchnorm = nn.BatchNorm1d(4)
+        self.linear2 = nn.Linear(4, 5)
+
+    def forward(self, x):
+        return self.linear2(self.batchnorm(self.linear1(x))), self.id
+
+
 class ModelForTestTiedWeights(nn.Module):
     def __init__(self):
         super().__init__()
@@ -325,6 +337,24 @@ def test_dispatch_model_multi_gpu(self):
             output = model(x)
             self.assertTrue(torch.allclose(expected, output.cpu(), atol=1e-5))
 
+    @require_cuda
+    def test_dispatch_model_copy(self):
+        original_model = ModelForTestCopy(id=1)
+        device_map = {"linear1": 0, "batchnorm": "cpu", "linear2": 0}
+
+        x = torch.randn(2, 3)
+        expected, original_output_id = original_model(x)
+
+        dispatch_model(original_model, device_map)
+
+        copied_model = copy.deepcopy(original_model)
+        copied_model.id = 2
+        output, copied_output_id = copied_model(x)
+
+        self.assertEqual(original_model.id, original_output_id)
+        self.assertEqual(copied_model.id, copied_output_id)
+        self.assertTrue(torch.allclose(expected, output.cpu(), atol=1e-5))
+
     @require_cuda
     def test_dispatch_model_move_offloaded_model(self):
         model = ModelForTest()