diff --git a/stdlib/functools.pyi b/stdlib/functools.pyi
index 9957fa8f1634..6c96cf14117b 100644
--- a/stdlib/functools.pyi
+++ b/stdlib/functools.pyi
@@ -85,7 +85,14 @@ WRAPPER_UPDATES: tuple[Literal["__dict__"]]
 
 class _Wrapped(Generic[_PWrapped, _RWrapped, _PWrapper, _RWrapper]):
     __wrapped__: Callable[_PWrapped, _RWrapped]
-    def __call__(self, *args: _PWrapper.args, **kwargs: _PWrapper.kwargs) -> _RWrapper: ...
+    def __call__(self, *args: _PWrapper.args, **kwargs: _PWrapper.kwargs) -> _RWrapped: ...
+    # as with ``Callable``, we'll assume that these attributes exist
+    __name__: str
+    __qualname__: str
+
+class _WrappedMethod(Generic[_PWrapped, _RWrapped, _PWrapper, _RWrapper]):
+    __wrapped__: Callable[_PWrapped, _RWrapped]
+    def __call__(self, *args: _PWrapped.args, **kwargs: _PWrapped.kwargs) -> _RWrapped: ...
     # as with ``Callable``, we'll assume that these attributes exist
     __name__: str
     __qualname__: str
@@ -93,6 +100,9 @@ class _Wrapped(Generic[_PWrapped, _RWrapped, _PWrapper, _RWrapper]):
 class _Wrapper(Generic[_PWrapped, _RWrapped]):
     def __call__(self, f: Callable[_PWrapper, _RWrapper]) -> _Wrapped[_PWrapped, _RWrapped, _PWrapper, _RWrapper]: ...
 
+class _MethodWrapper(Generic[_PWrapped, _RWrapped]):
+    def __call__(self, f: Callable[_PWrapper, _RWrapper]) -> _WrappedMethod[_PWrapped, _RWrapped, _PWrapper, _RWrapper]: ...
+
 if sys.version_info >= (3, 12):
     def update_wrapper(
         wrapper: Callable[_PWrapper, _RWrapper],
@@ -100,6 +110,11 @@ if sys.version_info >= (3, 12):
         assigned: Sequence[str] = ("__module__", "__name__", "__qualname__", "__doc__", "__annotations__", "__type_params__"),
         updated: Sequence[str] = ("__dict__",),
     ) -> _Wrapped[_PWrapped, _RWrapped, _PWrapper, _RWrapper]: ...
+    def wraps(
+        wrapped: Callable[Concatenate[Self, _PWrapped], _RWrapped],
+        assigned: Sequence[str] = ("__module__", "__name__", "__qualname__", "__doc__", "__annotations__", "__type_params__"),
+        updated: Sequence[str] = ("__dict__",),
+    ) -> _MethodWrapper[_PWrapped, _RWrapped]: ...
     def wraps(
         wrapped: Callable[_PWrapped, _RWrapped],
         assigned: Sequence[str] = ("__module__", "__name__", "__qualname__", "__doc__", "__annotations__", "__type_params__"),
@@ -113,6 +128,11 @@ else:
         assigned: Sequence[str] = ("__module__", "__name__", "__qualname__", "__doc__", "__annotations__"),
         updated: Sequence[str] = ("__dict__",),
     ) -> _Wrapped[_PWrapped, _RWrapped, _PWrapper, _RWrapper]: ...
+    def wraps(
+        wrapped: Callable[Concatenate[Self, _PWrapped], _RWrapped],
+        assigned: Sequence[str] = ("__module__", "__name__", "__qualname__", "__doc__", "__annotations__", "__type_params__"),
+        updated: Sequence[str] = ("__dict__",),
+    ) -> _MethodWrapper[_PWrapped, _RWrapped]: ...
     def wraps(
         wrapped: Callable[_PWrapped, _RWrapped],
         assigned: Sequence[str] = ("__module__", "__name__", "__qualname__", "__doc__", "__annotations__"),