diff --git a/changelog.d/6144.bugfix b/changelog.d/6144.bugfix
new file mode 100644
index 000000000..eee63961e
--- /dev/null
+++ b/changelog.d/6144.bugfix
@@ -0,0 +1 @@
+Prevent user push rules being deleted from a room when it is upgraded.
\ No newline at end of file
diff --git a/synapse/handlers/room_member.py b/synapse/handlers/room_member.py
index 8abdb1b6e..95a244d86 100644
--- a/synapse/handlers/room_member.py
+++ b/synapse/handlers/room_member.py
@@ -216,8 +216,8 @@ class RoomMemberHandler(object):
                 self.copy_room_tags_and_direct_to_room(
                     predecessor["room_id"], room_id, user_id
                 )
-                # Move over old push rules
-                self.store.move_push_rules_from_room_to_room_for_user(
+                # Copy over push rules
+                yield self.store.copy_push_rules_from_room_to_room_for_user(
                     predecessor["room_id"], room_id, user_id
                 )
         elif event.membership == Membership.LEAVE:
diff --git a/synapse/storage/push_rule.py b/synapse/storage/push_rule.py
index a6517c4cf..c4e24edff 100644
--- a/synapse/storage/push_rule.py
+++ b/synapse/storage/push_rule.py
@@ -183,8 +183,8 @@ class PushRulesWorkerStore(
         return results
 
     @defer.inlineCallbacks
-    def move_push_rule_from_room_to_room(self, new_room_id, user_id, rule):
-        """Move a single push rule from one room to another for a specific user.
+    def copy_push_rule_from_room_to_room(self, new_room_id, user_id, rule):
+        """Copy a single push rule from one room to another for a specific user.
 
         Args:
             new_room_id (str): ID of the new room.
@@ -209,14 +209,11 @@ class PushRulesWorkerStore(
             actions=rule["actions"],
         )
 
-        # Delete push rule for the old room
-        yield self.delete_push_rule(user_id, rule["rule_id"])
-
     @defer.inlineCallbacks
-    def move_push_rules_from_room_to_room_for_user(
+    def copy_push_rules_from_room_to_room_for_user(
         self, old_room_id, new_room_id, user_id
     ):
-        """Move all of the push rules from one room to another for a specific
+        """Copy all of the push rules from one room to another for a specific
         user.
 
         Args:
@@ -227,15 +224,14 @@ class PushRulesWorkerStore(
         # Retrieve push rules for this user
         user_push_rules = yield self.get_push_rules_for_user(user_id)
 
-        # Get rules relating to the old room, move them to the new room, then
-        # delete them from the old room
+        # Get rules relating to the old room and copy them to the new room
         for rule in user_push_rules:
             conditions = rule.get("conditions", [])
             if any(
                 (c.get("key") == "room_id" and c.get("pattern") == old_room_id)
                 for c in conditions
             ):
-                self.move_push_rule_from_room_to_room(new_room_id, user_id, rule)
+                yield self.copy_push_rule_from_room_to_room(new_room_id, user_id, rule)
 
     @defer.inlineCallbacks
     def bulk_get_push_rules_for_room(self, event, context):