diff --git a/modern_di_fastapi/main.py b/modern_di_fastapi/main.py
index d2d51ac..04d467e 100644
--- a/modern_di_fastapi/main.py
+++ b/modern_di_fastapi/main.py
@@ -1,3 +1,4 @@
+import collections.abc
 import contextlib
 import dataclasses
 import typing
@@ -42,7 +43,7 @@ def _compose_lifespan(original: Lifespan[fastapi.FastAPI]) -> Lifespan[fastapi.F
     """
 
     @contextlib.asynccontextmanager
-    async def composed(app_: fastapi.FastAPI) -> typing.AsyncIterator[typing.Mapping[str, typing.Any] | None]:
+    async def composed(app_: fastapi.FastAPI) -> 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 d24f1a8..e9102da 100644
--- a/tests/test_lifespan.py
+++ b/tests/test_lifespan.py
@@ -1,3 +1,4 @@
+import collections.abc
 import contextlib
 import typing
 
@@ -32,7 +33,7 @@ def test_setup_di_composes_with_existing_lifespan() -> None:
     events: list[str] = []
 
     @contextlib.asynccontextmanager
-    async def user_lifespan(app_: fastapi.FastAPI) -> typing.AsyncIterator[dict[str, str]]:
+    async def user_lifespan(app_: fastapi.FastAPI) -> collections.abc.AsyncGenerator[dict[str, str]]:
         assert isinstance(app_, fastapi.FastAPI)
         events.append("startup")
         yield {"marker": "from-user-lifespan"}