diff --git a/stdlib/asyncio/futures.pyi b/stdlib/asyncio/futures.pyi
index b05dd3863..4942796b8 100644
--- a/stdlib/asyncio/futures.pyi
+++ b/stdlib/asyncio/futures.pyi
@@ -45,7 +45,7 @@ class Future(Awaitable[_T], Iterable[_T]):
         def _callbacks(self: _S) -> list[Callable[[_S], Any]]: ...
         def add_done_callback(self: _S, __fn: Callable[[_S], Any]) -> None: ...
     if sys.version_info >= (3, 9):
-        def cancel(self, msg: str | None = ...) -> bool: ...
+        def cancel(self, msg: Any | None = ...) -> bool: ...
     else:
         def cancel(self) -> bool: ...
     def cancelled(self) -> bool: ...
diff --git a/stdlib/asyncio/tasks.pyi b/stdlib/asyncio/tasks.pyi
index f9d57aae4..8cedc1ef0 100644
--- a/stdlib/asyncio/tasks.pyi
+++ b/stdlib/asyncio/tasks.pyi
@@ -271,7 +271,7 @@ class Task(Future[_T], Generic[_T]):
     def get_stack(self, *, limit: int | None = ...) -> list[FrameType]: ...
     def print_stack(self, *, limit: int | None = ..., file: TextIO | None = ...) -> None: ...
     if sys.version_info >= (3, 9):
-        def cancel(self, msg: str | None = ...) -> bool: ...
+        def cancel(self, msg: Any | None = ...) -> bool: ...
     else:
         def cancel(self) -> bool: ...
     if sys.version_info < (3, 9):