diff --git a/yt_dlp/YoutubeDL.py b/yt_dlp/YoutubeDL.py
index d6b284529..38ff628b0 100644
--- a/yt_dlp/YoutubeDL.py
+++ b/yt_dlp/YoutubeDL.py
@@ -1428,7 +1428,7 @@ class YoutubeDL(object):
         min_wait, max_wait = self.params.get('wait_for_video')
         diff = try_get(ie_result, lambda x: x['release_timestamp'] - time.time())
         if diff is None and ie_result.get('live_status') == 'is_upcoming':
-            diff = random.randrange(min_wait, max_wait) if (max_wait and min_wait) else (max_wait or min_wait)
+            diff = round(random.uniform(min_wait, max_wait) if (max_wait and min_wait) else (max_wait or min_wait), 0)
             self.report_warning('Release time of video is not known')
         elif (diff or 0) <= 0:
             self.report_warning('Video should already be available according to extracted info')