diff --git a/youtube_dl/extractor/udemy.py b/youtube_dl/extractor/udemy.py
index 66ea6fb15..2a4faecef 100644
--- a/youtube_dl/extractor/udemy.py
+++ b/youtube_dl/extractor/udemy.py
@@ -76,7 +76,10 @@ class UdemyIE(InfoExtractor):
                 webpage, 'course', default='{}')),
             video_id, fatal=False) or {}
         course_id = course.get('id') or self._search_regex(
-            r'data-course-id=["\'](\d+)', webpage, 'course id')
+            [
+                r'data-course-id=["\'](\d+)',
+                r'"courseId"\s*:\s*(\d+)'
+            ], webpage, 'course id')
         return course_id, course.get('title')
 
     def _enroll_course(self, base_url, webpage, course_id):