diff --git a/youtube_dl/extractor/googledrive.py b/youtube_dl/extractor/googledrive.py
index 85c6517f3..886fdd532 100644
--- a/youtube_dl/extractor/googledrive.py
+++ b/youtube_dl/extractor/googledrive.py
@@ -265,7 +265,7 @@ class GoogleDriveIE(InfoExtractor):
             subtitles_id = ttsurl.encode('utf-8').decode(
                 'unicode_escape').split('=')[-1]
 
-        self._downloader.cookiejar.clear('.google.com')
+        self._downloader.cookiejar.clear(domain='.google.com', path='/', name='NID')
 
         return {
             'id': video_id,