diff --git a/yt_dlp/cookies.py b/yt_dlp/cookies.py
index fad323c90..d9c5ac2c0 100644
--- a/yt_dlp/cookies.py
+++ b/yt_dlp/cookies.py
@@ -154,6 +154,7 @@ def _extract_firefox_cookies(profile, container, logger):
         container_id = next((context.get('userContextId') for context in identities if container in (
             context.get('name'),
             try_call(lambda: re.fullmatch(r'userContext([^\.]+)\.label', context['l10nID']).group()),
+            try_call(lambda: re.fullmatch(r'user-context-(.+)', context['l10nId']).group())
         )), None)
         if not isinstance(container_id, int):
             raise ValueError(f'could not find firefox container "{container}" in containers.json')