diff --git a/CHANGES/6401.doc b/CHANGES/6401.doc
new file mode 100644
index 00000000000..5920747db3a
--- /dev/null
+++ b/CHANGES/6401.doc
@@ -0,0 +1 @@
+Edited the web.run_app declaration.
diff --git a/CONTRIBUTORS.txt b/CONTRIBUTORS.txt
index 96fda3f654d..47a408d9894 100644
--- a/CONTRIBUTORS.txt
+++ b/CONTRIBUTORS.txt
@@ -227,6 +227,7 @@ Navid Sheikhol
 Nicolas Braem
 Nikolay Kim
 Nikolay Novik
+Nikolay Tiunov
 Nándor Mátravölgyi
 Oisin Aylward
 Olaf Conradi
diff --git a/aiohttp/web.py b/aiohttp/web.py
index 864428b49b7..b7bdfcaa3ae 100644
--- a/aiohttp/web.py
+++ b/aiohttp/web.py
@@ -290,7 +290,7 @@ async def _run_app(
     host: Optional[Union[str, HostSequence]] = None,
     port: Optional[int] = None,
     path: Optional[str] = None,
-    sock: Optional[socket.socket] = None,
+    sock: Optional[Union[socket.socket, TypingIterable[socket.socket]]] = None,
     shutdown_timeout: float = 60.0,
     keepalive_timeout: float = 75.0,
     ssl_context: Optional[SSLContext] = None,
@@ -463,7 +463,7 @@ def run_app(
     host: Optional[Union[str, HostSequence]] = None,
     port: Optional[int] = None,
     path: Optional[str] = None,
-    sock: Optional[socket.socket] = None,
+    sock: Optional[Union[socket.socket, TypingIterable[socket.socket]]] = None,
     shutdown_timeout: float = 60.0,
     keepalive_timeout: float = 75.0,
     ssl_context: Optional[SSLContext] = None,