diff --git a/README.md b/README.md
index 388b17e..77f2f7e 100644
--- a/README.md
+++ b/README.md
@@ -64,7 +64,15 @@ from fastapi_cache.decorator import cache
 
 from redis import asyncio as aioredis
 
-app = FastAPI()
+
+@asynccontextmanager
+async def lifespan(_: FastAPI) -> AsyncIterator[None]:
+    redis = aioredis.from_url("redis://localhost")
+    FastAPICache.init(RedisBackend(redis), prefix="fastapi-cache")
+    yield
+
+
+app = FastAPI(lifespan=lifespan)
 
 
 @cache()
@@ -76,12 +84,6 @@ async def get_cache():
 @cache(expire=60)
 async def index():
     return dict(hello="world")
-
-@asynccontextmanager
-async def lifespan(_: FastAPI) -> AsyncIterator[None]:
-    redis = aioredis.from_url("redis://localhost")
-    FastAPICache.init(RedisBackend(redis), prefix="fastapi-cache")
-    yield
 ```
 
 ### Initialization
diff --git a/examples/in_memory/main.py b/examples/in_memory/main.py
index ac2c5dc..c43dce3 100644
--- a/examples/in_memory/main.py
+++ b/examples/in_memory/main.py
@@ -1,5 +1,6 @@
 # pyright: reportGeneralTypeIssues=false
-from typing import Dict, Optional
+from contextlib import asynccontextmanager
+from typing import AsyncIterator, Dict, Optional
 
 import pendulum
 import uvicorn
@@ -11,7 +12,13 @@ from pydantic import BaseModel
 from starlette.requests import Request
 from starlette.responses import JSONResponse, Response
 
-app = FastAPI()
+@asynccontextmanager
+async def lifespan(_: FastAPI) -> AsyncIterator[None]:
+    FastAPICache.init(InMemoryBackend())
+    yield
+
+
+app = FastAPI(lifespan=lifespan)
 
 ret = 0
 
@@ -119,10 +126,5 @@ def namespaced_injection(
     }
 
 
-@app.on_event("startup")
-async def startup():
-    FastAPICache.init(InMemoryBackend())
-
-
 if __name__ == "__main__":
     uvicorn.run("main:app", reload=True)
diff --git a/examples/redis/main.py b/examples/redis/main.py
index c9a4f7c..bfae058 100644
--- a/examples/redis/main.py
+++ b/examples/redis/main.py
@@ -1,5 +1,7 @@
 # pyright: reportGeneralTypeIssues=false
+from contextlib import asynccontextmanager
 import time
+from typing import AsyncIterator
 
 import pendulum
 import uvicorn
@@ -17,7 +19,15 @@ from starlette.responses import JSONResponse, Response
 import redis.asyncio as redis
 from redis.asyncio.connection import ConnectionPool
 
-app = FastAPI()
+@asynccontextmanager
+async def lifespan(_: FastAPI) -> AsyncIterator[None]:
+    pool = ConnectionPool.from_url(url="redis://redis")
+    r = redis.Redis(connection_pool=pool)
+    FastAPICache.init(RedisBackend(r), prefix="fastapi-cache")
+    yield
+
+
+app = FastAPI(lifespan=lifespan)
 
 app.mount(
     path="/static",
@@ -80,12 +90,5 @@ async def cache_response_obj():
     return JSONResponse({"a": 1})
 
 
-@app.on_event("startup")
-async def startup():
-    pool = ConnectionPool.from_url(url="redis://redis")
-    r = redis.Redis(connection_pool=pool)
-    FastAPICache.init(RedisBackend(r), prefix="fastapi-cache")
-
-
 if __name__ == "__main__":
     uvicorn.run("main:app", reload=True)