diff --git a/synapse/push/baserules.py b/synapse/push/baserules.py
index 024c14904f..edb00ed206 100644
--- a/synapse/push/baserules.py
+++ b/synapse/push/baserules.py
@@ -217,6 +217,27 @@ BASE_APPEND_OVERRIDE_RULES = [
             'dont_notify'
         ]
     },
+    # This was changed from underride to override so it's closer in priority
+    # to the content rules where the user name highlight rule lives. This
+    # way a room rule is lower priority than both but a custom override rule
+    # is higher priority than both.
+    {
+        'rule_id': 'global/override/.m.rule.contains_display_name',
+        'conditions': [
+            {
+                'kind': 'contains_display_name'
+            }
+        ],
+        'actions': [
+            'notify',
+            {
+                'set_tweak': 'sound',
+                'value': 'default'
+            }, {
+                'set_tweak': 'highlight'
+            }
+        ]
+    },
 ]
 
 
@@ -242,23 +263,6 @@ BASE_APPEND_UNDERRIDE_RULES = [
             }
         ]
     },
-    {
-        'rule_id': 'global/underride/.m.rule.contains_display_name',
-        'conditions': [
-            {
-                'kind': 'contains_display_name'
-            }
-        ],
-        'actions': [
-            'notify',
-            {
-                'set_tweak': 'sound',
-                'value': 'default'
-            }, {
-                'set_tweak': 'highlight'
-            }
-        ]
-    },
     {
         'rule_id': 'global/underride/.m.rule.room_one_to_one',
         'conditions': [
diff --git a/synapse/storage/schema/delta/34/push_display_name_rename.sql b/synapse/storage/schema/delta/34/push_display_name_rename.sql
new file mode 100644
index 0000000000..51d9f82393
--- /dev/null
+++ b/synapse/storage/schema/delta/34/push_display_name_rename.sql
@@ -0,0 +1,17 @@
+/* Copyright 2016 OpenMarket Ltd
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *    http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+UPDATE push_rules SET rule_id = 'global/override/.m.rule.contains_display_name' WHERE rule_id = 'global/underride/.m.rule.contains_display_name';
+UPDATE push_rules_enable SET rule_id = 'global/override/.m.rule.contains_display_name' WHERE rule_id = 'global/underride/.m.rule.contains_display_name';