gistfile1.txt

diff --git a/aioitertools/asyncio.py b/aioitertools/asyncio.py
index a98b961..0038f02 100644
--- a/aioitertools/asyncio.py
+++ b/aioitertools/asyncio.py
@@ -9,7 +9,7 @@ Provisional library.  Must be imported as `aioitertools.asyncio`.
 
 import asyncio
 import time
-from typing import Awaitable, Iterable, Optional, Set
+from typing import Awaitable, Iterable, Optional, Set, Tuple, cast
 
 from .types import AsyncIterator, T
 
@@ -47,8 +47,16 @@ async def as_completed(
             if remaining <= 0:
                 raise asyncio.TimeoutError()
 
-        done, pending = await asyncio.wait(  # type: ignore # bad annotation upstream
-            pending, loop=loop, timeout=remaining, return_when=asyncio.FIRST_COMPLETED
+        # casting results to Set[Awaitable[T]] because asyncio.Future is an Awaitable
+        # but mypy doesn't like assigning Set[asynico.Future] to Set[Awaitable]
+        done, pending = cast(
+            Tuple[Set[Awaitable[T]], Set[Awaitable[T]]],
+            await asyncio.wait(
+                pending,
+                loop=loop,
+                timeout=remaining,
+                return_when=asyncio.FIRST_COMPLETED,
+            ),
         )
 
         for item in done: