diff --git a/Include/cpython/object.h b/Include/cpython/object.h
index e2f87524c218b63..d64298232e705c8 100644
--- a/Include/cpython/object.h
+++ b/Include/cpython/object.h
@@ -442,7 +442,6 @@ PyAPI_FUNC(int) _Py_ReachedRecursionLimitWithMargin(PyThreadState *tstate, int m
 PyAPI_FUNC(void *) PyObject_GetItemData(PyObject *obj);
 
 PyAPI_FUNC(int) PyObject_VisitManagedDict(PyObject *obj, visitproc visit, void *arg);
-PyAPI_FUNC(int) _PyObject_SetManagedDict(PyObject *obj, PyObject *new_dict);
 PyAPI_FUNC(void) PyObject_ClearManagedDict(PyObject *obj);
 
 
diff --git a/Include/internal/pycore_object.h b/Include/internal/pycore_object.h
index 77560e5da66b03c..980d6d7764bd2cd 100644
--- a/Include/internal/pycore_object.h
+++ b/Include/internal/pycore_object.h
@@ -1031,7 +1031,8 @@ enum _PyAnnotateFormat {
     _Py_ANNOTATE_FORMAT_STRING = 4,
 };
 
-int _PyObject_SetDict(PyObject *obj, PyObject *value);
+extern int _PyObject_SetDict(PyObject *obj, PyObject *value);
+extern int _PyObject_SetManagedDict(PyObject *obj, PyObject *new_dict);
 
 #ifndef Py_GIL_DISABLED
 static inline Py_ALWAYS_INLINE void _Py_INCREF_MORTAL(PyObject *op)
diff --git a/Lib/test/test_pydoc/test_pydoc.py b/Lib/test/test_pydoc/test_pydoc.py
index 5aa8d92057e3d70..c640416327efbff 100644
--- a/Lib/test/test_pydoc/test_pydoc.py
+++ b/Lib/test/test_pydoc/test_pydoc.py
@@ -1413,7 +1413,7 @@ def test_special_form(self):
             self.assertIn('NoReturn = typing.NoReturn', doc)
             self.assertIn(typing.NoReturn.__doc__.strip().splitlines()[0], doc)
         else:
-            self.assertIn('NoReturn = class _SpecialForm(_Final)', doc)
+            self.assertIn('NoReturn = class _SpecialForm(_Final, _NotIterable)', doc)
 
     def test_typing_pydoc(self):
         def foo(data: typing.List[typing.Any],