diff --git a/test/dynamo/test_repros.py b/test/dynamo/test_repros.py
index 9e0e1fe29a1..e7811576c74 100644
--- a/test/dynamo/test_repros.py
+++ b/test/dynamo/test_repros.py
@@ -7234,6 +7234,26 @@ class ReproTestsDevice(torch._dynamo.test_case.TestCase):
         output = capturedOutput.getvalue()
         self.assertNotIn("class GraphModule", output)
 
+    def test_deepcopy_constant_tensor_in_aot_bwd(self):
+        class Fn(torch.autograd.Function):
+            @staticmethod
+            def forward(ctx, x):
+                return x + 1
+
+            @staticmethod
+            def backward(ctx, grad_out):
+                return grad_out * torch.tensor(2) * grad_out.shape[0]
+
+        def f(x):
+            return Fn.apply(x)
+
+        x = torch.randn(8, requires_grad=True)
+        out = f(x)  # should not raise
+        c_out = torch.compile(f, backend="aot_eager", dynamic=True)(x)
+        expected = torch.autograd.grad(out.sum(), inputs=(x,))
+        actual = torch.autograd.grad(c_out.sum(), inputs=(x,))
+        self.assertEqual(expected, actual)
+
 
 instantiate_parametrized_tests(ReproTests)
 
diff --git a/torch/_functorch/_aot_autograd/jit_compile_runtime_wrappers.py b/torch/_functorch/_aot_autograd/jit_compile_runtime_wrappers.py
index 447e3f9c70d..56303d6752b 100644
--- a/torch/_functorch/_aot_autograd/jit_compile_runtime_wrappers.py
+++ b/torch/_functorch/_aot_autograd/jit_compile_runtime_wrappers.py
@@ -1211,9 +1211,15 @@ def aot_dispatch_autograd(
             if num_symints_saved_for_bw > 0:
                 try:
                     # See Note: [Backward graph lazy lowering]
+                    with torch._subclasses.fake_tensor.unset_fake_temporarily():
+                        # If bw_module contains lifted constants, they will be real tensors stored as
+                        # GraphModule. Deepcopying tensors under fake mode is not supported and will
+                        # raise when attempting to set storage.
+                        bw_module_copy = copy.deepcopy(bw_module)
                     compiled_bw_func = aot_config.bw_compiler(
-                        copy.deepcopy(bw_module), placeholder_list
+                        bw_module_copy, placeholder_list
                     )
+                    del bw_module_copy
                 except Exception as e:
                     exc = e
                     trace_structured(