diff --git a/stdlib/2/functools.pyi b/stdlib/2/functools.pyi
index f3bcc905b..a0e1a8fa2 100644
--- a/stdlib/2/functools.pyi
+++ b/stdlib/2/functools.pyi
@@ -21,7 +21,7 @@ WRAPPER_ASSIGNMENTS = ...  # type: Sequence[str]
 WRAPPER_UPDATES = ...  # type: Sequence[str]
 
 def update_wrapper(wrapper: _AnyCallable, wrapped: _AnyCallable, assigned: Sequence[str] = ...,
-                   updated: Sequence[str] = ...) -> None: ...
+                   updated: Sequence[str] = ...) -> _AnyCallable: ...
 def wraps(wrapped: _AnyCallable, assigned: Sequence[str] = ..., updated: Sequence[str] = ...) -> Callable[[_AnyCallable], _AnyCallable]: ...
 def total_ordering(cls: type) -> type: ...
 def cmp_to_key(mycmp: Callable[[_T, _T], int]) -> Callable[[_T], Any]: ...
diff --git a/stdlib/3/functools.pyi b/stdlib/3/functools.pyi
index be88c2870..7f048dce2 100644
--- a/stdlib/3/functools.pyi
+++ b/stdlib/3/functools.pyi
@@ -34,7 +34,7 @@ WRAPPER_ASSIGNMENTS = ...  # type: Sequence[str]
 WRAPPER_UPDATES = ...  # type: Sequence[str]
 
 def update_wrapper(wrapper: _AnyCallable, wrapped: _AnyCallable, assigned: Sequence[str] = ...,
-                   updated: Sequence[str] = ...) -> None: ...
+                   updated: Sequence[str] = ...) -> _AnyCallable: ...
 def wraps(wrapped: _AnyCallable, assigned: Sequence[str] = ..., updated: Sequence[str] = ...) -> Callable[[_AnyCallable], _AnyCallable]: ...
 def total_ordering(cls: type) -> type: ...
 def cmp_to_key(mycmp: Callable[[_T, _T], int]) -> Callable[[_T], Any]: ...