diff --git a/lib/classes/message/message.php b/lib/classes/message/message.php
index 6f4e26e7becb3..30301c5dd970a 100644
--- a/lib/classes/message/message.php
+++ b/lib/classes/message/message.php
@@ -132,6 +132,9 @@ class message {
     /** @var  mixed Custom data to be passed to the message processor. Must be serialisable using json_encode(). */
     private $customdata;
 
+    /** @var boolean If message is anonymous. */
+    private $anonymous;
+
     /** @var array a list of properties that is allowed for each message. */
     private $properties = array(
         'courseid',
@@ -158,6 +161,7 @@ class message {
         'timecreated',
         'fullmessagetrust',
         'customdata',
+        'anonymous',
     );
 
     /** @var array property to store any additional message processor specific content */
diff --git a/message/output/popup/message_output_popup.php b/message/output/popup/message_output_popup.php
index 69a9cd365e3ae..32b2c014ccd4b 100644
--- a/message/output/popup/message_output_popup.php
+++ b/message/output/popup/message_output_popup.php
@@ -49,12 +49,15 @@ public function send_message($eventdata) {
         global $DB;
 
         // Prevent users from getting popup notifications from themselves (happens with forum notifications).
-        if ($eventdata->userfrom->id != $eventdata->userto->id && $eventdata->notification) {
-            if (!$DB->record_exists('message_popup_notifications', ['notificationid' => $eventdata->savedmessageid])) {
-                $record = new stdClass();
-                $record->notificationid = $eventdata->savedmessageid;
-
-                $DB->insert_record('message_popup_notifications', $record);
+        if ($eventdata->notification) {
+            if (($eventdata->userfrom->id != $eventdata->userto->id) ||
+                (isset($eventdata->anonymous) && $eventdata->anonymous)) {
+                if (!$DB->record_exists('message_popup_notifications', ['notificationid' => $eventdata->savedmessageid])) {
+                    $record = new stdClass();
+                    $record->notificationid = $eventdata->savedmessageid;
+
+                    $DB->insert_record('message_popup_notifications', $record);
+                }
             }
         }
 
diff --git a/mod/feedback/lib.php b/mod/feedback/lib.php
index 458cb7315bd93..621bb385b4376 100644
--- a/mod/feedback/lib.php
+++ b/mod/feedback/lib.php
@@ -2639,6 +2639,7 @@ function feedback_send_email($cm, $feedback, $course, $user, $completed = null)
             ];
             if ($feedback->anonymous == FEEDBACK_ANONYMOUS_NO) {
                 $eventdata = new \core\message\message();
+                $eventdata->anonymous        = false;
                 $eventdata->courseid         = $course->id;
                 $eventdata->name             = 'submission';
                 $eventdata->component        = 'mod_feedback';
@@ -2661,6 +2662,7 @@ function feedback_send_email($cm, $feedback, $course, $user, $completed = null)
                 message_send($eventdata);
             } else {
                 $eventdata = new \core\message\message();
+                $eventdata->anonymous        = true;
                 $eventdata->courseid         = $course->id;
                 $eventdata->name             = 'submission';
                 $eventdata->component        = 'mod_feedback';
@@ -2726,6 +2728,7 @@ function feedback_send_email_anonym($cm, $feedback, $course) {
             }
 
             $eventdata = new \core\message\message();
+            $eventdata->anonymous        = true;
             $eventdata->courseid         = $course->id;
             $eventdata->name             = 'submission';
             $eventdata->component        = 'mod_feedback';