diff --git a/torch/_dynamo/variables/misc.py b/torch/_dynamo/variables/misc.py
index 2b62c0c1acc..663ff5b20a6 100644
--- a/torch/_dynamo/variables/misc.py
+++ b/torch/_dynamo/variables/misc.py
@@ -41,6 +41,7 @@ from .functions import (
     UserMethodVariable,
     wrap_bound_arg,
 )
+from .nn_module import UnspecializedNNModuleVariable
 from .user_defined import call_random_fn, is_standard_setattr, UserDefinedObjectVariable
 
 
@@ -393,18 +394,20 @@ class InspectSignatureVariable(VariableTracker):
         super().__init__(**kwargs)
         self.inspected = inspected
 
+        try:
+            if hasattr(self.inspected, "get_function"):
+                self.fn = self.inspected.get_function()
+            elif isinstance(self.inspected, UnspecializedNNModuleVariable):
+                self.fn = self.inspected.value
+            else:
+                self.fn = self.inspected.as_python_constant()
+        except NotImplementedError:
+            unimplemented("inspect.signature with non-constant function")
+
+        self.signature = inspect.signature(self.fn)
+        self.parameters = list(self.signature.parameters.items())
         if isinstance(self.inspected, UserMethodVariable):
-            self.fn = self.inspected.get_function()
-            self.signature = inspect.signature(self.fn)
-            self.parameters = list(self.signature.parameters.items())[1:]
-        elif isinstance(self.inspected, UserFunctionVariable):
-            self.fn = self.inspected.get_function()
-            self.signature = inspect.signature(self.fn)
-            self.parameters = list(self.signature.parameters.items())
-        else:
-            self.fn = self.inspected.as_python_constant()
-            self.signature = inspect.signature(self.fn)
-            self.parameters = list(self.signature.parameters.items())
+            self.parameters = self.parameters[1:]
 
     def var_getattr(self, tx: "InstructionTranslator", name: str) -> "VariableTracker":
         if name == "parameters":