diff --git a/include/pybind11/pybind11.h b/include/pybind11/pybind11.h
index 7fc7dbf723..4387c2754b 100644
--- a/include/pybind11/pybind11.h
+++ b/include/pybind11/pybind11.h
@@ -1322,7 +1322,7 @@ PYBIND11_NAMESPACE_BEGIN(detail)
 
 template <>
 struct handle_type_name<module_> {
-    static constexpr auto name = const_name("module");
+    static constexpr auto name = const_name("types.ModuleType");
 };
 
 PYBIND11_NAMESPACE_END(detail)
diff --git a/tests/test_modules.py b/tests/test_modules.py
index 436271a701..ad898be89a 100644
--- a/tests/test_modules.py
+++ b/tests/test_modules.py
@@ -81,6 +81,13 @@ def test_pydoc():
     assert pydoc.text.docmodule(pybind11_tests)
 
 
+def test_module_handle_type_name():
+    assert (
+        m.def_submodule.__doc__
+        == "def_submodule(arg0: types.ModuleType, arg1: str) -> types.ModuleType\n"
+    )
+
+
 def test_duplicate_registration():
     """Registering two things with the same name"""