diff --git a/src/Site/Site.py b/src/Site/Site.py
index e4518165..9df8d5ca 100644
--- a/src/Site/Site.py
+++ b/src/Site/Site.py
@@ -844,6 +844,7 @@ class Site(object):
         need_to_close = len(connected_peers) - config.connected_limit
 
         if closed < need_to_close:
+            sorted(connected_peers, key=lambda peer: peer.connection.sites)  # Try to keep connections with more sites
             for peer in connected_peers:
                 peer.remove()
                 closed += 1