diff --git a/lib/requirejs.php b/lib/requirejs.php
index 49c0db77c46..46cace6e803 100644
--- a/lib/requirejs.php
+++ b/lib/requirejs.php
@@ -104,7 +104,7 @@ if ($rev > 0 and $rev < (time() + 60 * 60)) {
             $js = rtrim($js);
             $js .= "\n";
 
-            if (preg_match('/define\(\s*\[/', $js)) {
+            if (preg_match('/define\(\s*(\[|function)/', $js)) {
                 // If the JavaScript module has been defined without specifying a name then we'll
                 // add the Moodle module name now.
                 $replace = 'define(\'' . $modulename . '\', ';
@@ -157,7 +157,7 @@ if (!empty($jsfiles)) {
         $js = rtrim($js);
     }
 
-    if (preg_match('/define\(\s*\[/', $js)) {
+    if (preg_match('/define\(\s*(\[|function)/', $js)) {
         // If the JavaScript module has been defined without specifying a name then we'll
         // add the Moodle module name now.
         $replace = 'define(\'' . $modulename . '\', ';