diff --git a/stdlib/3.4/asyncio/__init__.pyi b/stdlib/3.4/asyncio/__init__.pyi
index a25b6eec2..60a7ddeae 100644
--- a/stdlib/3.4/asyncio/__init__.pyi
+++ b/stdlib/3.4/asyncio/__init__.pyi
@@ -41,6 +41,7 @@ from asyncio.futures import (
     CancelledError as CancelledError,
     TimeoutError as TimeoutError,
     InvalidStateError as InvalidStateError,
+    wrap_future as wrap_future,
 )
 from asyncio.tasks import (
     FIRST_COMPLETED as FIRST_COMPLETED,
diff --git a/stdlib/3.4/asyncio/futures.pyi b/stdlib/3.4/asyncio/futures.pyi
index b88009324..f651c66b1 100644
--- a/stdlib/3.4/asyncio/futures.pyi
+++ b/stdlib/3.4/asyncio/futures.pyi
@@ -6,6 +6,7 @@ from concurrent.futures._base import (
 from concurrent.futures import (
     CancelledError as CancelledError,
     TimeoutError as TimeoutError,
+    Future as ConcurrentFuture,
 )
 
 __all__ = ...  # type: str
@@ -44,3 +45,5 @@ class Future(Iterable[_T], Awaitable[_T], Generic[_T]):
     def _copy_state(self, other: Any) -> None: ...
     def __iter__(self) -> Generator[Any, None, _T]: ...
     def __await__(self) -> Generator[Any, None, _T]: ...
+
+def wrap_future(f: Union[ConcurrentFuture[_T], Future[_T]]) -> Future[_T]: ...