diff --git a/python2/typing.py b/python2/typing.py
index 8880a2586..f6a73d706 100644
--- a/python2/typing.py
+++ b/python2/typing.py
@@ -978,7 +978,7 @@ def _valid_for_check(cls):
         raise TypeError("Class %r cannot be used with class "
                         "or instance checks" % cls)
     if (cls.__origin__ is not None and
-        sys._getframe(3).f_globals['__name__'] != 'abc'):
+        sys._getframe(3).f_globals['__name__'] not in ['abc', 'functools']):
         raise TypeError("Parameterized generics cannot be used with class "
                         "or instance checks")
 
diff --git a/src/typing.py b/src/typing.py
index 694cd93cd..05b65b70c 100644
--- a/src/typing.py
+++ b/src/typing.py
@@ -897,7 +897,7 @@ def _valid_for_check(cls):
         raise TypeError("Class %r cannot be used with class "
                         "or instance checks" % cls)
     if (cls.__origin__ is not None and
-        sys._getframe(3).f_globals['__name__'] != 'abc'):
+        sys._getframe(3).f_globals['__name__'] not in ['abc', 'functools']):
         raise TypeError("Parameterized generics cannot be used with class "
                         "or instance checks")