diff --git a/homeassistant/helpers/aiohttp_client.py b/homeassistant/helpers/aiohttp_client.py
index fe995222c67..3e1e45e5981 100644
--- a/homeassistant/helpers/aiohttp_client.py
+++ b/homeassistant/helpers/aiohttp_client.py
@@ -129,7 +129,7 @@ async def async_aiohttp_proxy_stream(
     await response.prepare(request)
 
     try:
-        while True:
+        while hass.is_running:
             with async_timeout.timeout(timeout):
                 data = await stream.read(buffer_size)