diff --git a/gunicorn/workers/base_async.py b/gunicorn/workers/base_async.py
index 7b2daf91..cbc2606f 100644
--- a/gunicorn/workers/base_async.py
+++ b/gunicorn/workers/base_async.py
@@ -42,7 +42,7 @@ class AsyncWorker(base.Worker):
                 else:
                     # keepalive loop
                     proxy_protocol_info = {}
-                    while True:
+                    while self.alive:
                         req = None
                         with self.timeout_ctx():
                             req = next(parser)