diff --git a/stdlib/2/inspect.pyi b/stdlib/2/inspect.pyi
index 7dc8714b4521..2887a1a4d3ca 100644
--- a/stdlib/2/inspect.pyi
+++ b/stdlib/2/inspect.pyi
@@ -29,7 +29,7 @@ ModuleInfo = NamedTuple('ModuleInfo', [('name', str),
                                        ])
 def getmembers(
     object: object,
-    predicate: Callable[[Any], bool] = ...
+    predicate: Optional[Callable[[Any], bool]] = ...
 ) -> List[Tuple[str, Any]]: ...
 def getmoduleinfo(path: str) -> Optional[ModuleInfo]: ...
 def getmodulename(path: str) -> Optional[str]: ...
diff --git a/stdlib/3/inspect.pyi b/stdlib/3/inspect.pyi
index be72b6457e58..3deef08f62a2 100644
--- a/stdlib/3/inspect.pyi
+++ b/stdlib/3/inspect.pyi
@@ -39,7 +39,7 @@ if sys.version_info < (3, 6):
     def getmoduleinfo(path: str) -> Optional[ModuleInfo]: ...
 
 def getmembers(object: object,
-               predicate: Callable[[Any], bool] = ...,
+               predicate: Optional[Callable[[Any], bool]] = ...,
                ) -> List[Tuple[str, Any]]: ...
 def getmodulename(path: str) -> Optional[str]: ...