diff --git a/modern_di_starlette/main.py b/modern_di_starlette/main.py
index f74ada4..23b23b4 100644
--- a/modern_di_starlette/main.py
+++ b/modern_di_starlette/main.py
@@ -1,5 +1,6 @@
 """modern-di integration for Starlette."""
 
+import collections.abc
 import contextlib
 import functools
 import typing
@@ -40,7 +41,7 @@ def _compose_lifespan(original: Lifespan[Starlette]) -> Lifespan[Starlette]:
     """
 
     @contextlib.asynccontextmanager
-    async def composed(app: Starlette) -> typing.AsyncIterator[typing.Mapping[str, typing.Any] | None]:
+    async def composed(app: Starlette) -> collections.abc.AsyncGenerator[typing.Mapping[str, typing.Any] | None]:
         async with original(app) as state, fetch_di_container(app):
             yield state
 
diff --git a/tests/test_lifespan.py b/tests/test_lifespan.py
index 3a79f92..f037bae 100644
--- a/tests/test_lifespan.py
+++ b/tests/test_lifespan.py
@@ -1,5 +1,5 @@
+import collections.abc
 import contextlib
-import typing
 
 import modern_di
 from starlette import status
@@ -33,7 +33,7 @@ def test_setup_di_composes_with_existing_lifespan() -> None:
     events: list[str] = []
 
     @contextlib.asynccontextmanager
-    async def user_lifespan(app_: Starlette) -> typing.AsyncIterator[dict[str, str]]:
+    async def user_lifespan(app_: Starlette) -> collections.abc.AsyncGenerator[dict[str, str]]:
         assert isinstance(app_, Starlette)
         events.append("startup")
         yield {"marker": "from-user-lifespan"}