diff --git a/youtube_dl/extractor/youtube.py b/youtube_dl/extractor/youtube.py
index 97ce36550..abacdfaed 100644
--- a/youtube_dl/extractor/youtube.py
+++ b/youtube_dl/extractor/youtube.py
@@ -1970,6 +1970,7 @@ class YoutubeTruncatedURLIE(InfoExtractor):
             annotation_id=annotation_[^&]+|
             x-yt-cl=[0-9]+|
             hl=[^&]*|
+            t=[0-9]+
         )?
         |
             attribution_link\?a=[^&]+
@@ -1992,6 +1993,9 @@ class YoutubeTruncatedURLIE(InfoExtractor):
     }, {
         'url': 'https://www.youtube.com/watch?hl=en-GB',
         'only_matching': True,
+    }, {
+        'url': 'https://www.youtube.com/watch?t=2372',
+        'only_matching': True,
     }]
 
     def _real_extract(self, url):