diff --git a/google_auth_oauthlib/flow.py b/google_auth_oauthlib/flow.py
index 72cb13f..1a84d9b 100644
--- a/google_auth_oauthlib/flow.py
+++ b/google_auth_oauthlib/flow.py
@@ -449,6 +449,7 @@ def run_local_server(
         success_message=_DEFAULT_WEB_SUCCESS_MESSAGE,
         open_browser=True,
         redirect_uri_trailing_slash=True,
+        timeout_seconds=None,
         **kwargs
     ):
         """Run the flow using the server strategy.
@@ -478,6 +479,10 @@ def run_local_server(
                 in the user's browser.
             redirect_uri_trailing_slash (bool): whether or not to add trailing
                 slash when constructing the redirect_uri. Default value is True.
+            timeout_seconds (int): It will raise an error after the timeout timing
+                if there are no credentials response. The value is in seconds.
+                When set to None there is no timeout.
+                Default value is None.
             kwargs: Additional keyword arguments passed through to
                 :meth:`authorization_url`.
 
@@ -503,6 +508,7 @@ def run_local_server(
 
         print(authorization_prompt_message.format(url=auth_url))
 
+        local_server.timeout = timeout_seconds
         local_server.handle_request()
 
         # Note: using https here because oauthlib is very picky that