diff --git a/youtube_dl/downloader/fragment.py b/youtube_dl/downloader/fragment.py
index 0c9113d0f..e2f34eec6 100644
--- a/youtube_dl/downloader/fragment.py
+++ b/youtube_dl/downloader/fragment.py
@@ -26,7 +26,11 @@ class FragmentFD(FileDownloader):
         self._start_frag_download(ctx)
 
     def _prepare_frag_download(self, ctx):
-        self.to_screen('[%s] Total fragments: %d' % (self.FD_NAME, ctx['total_frags']))
+        if 'live' not in ctx:
+            ctx['live'] = False
+        self.to_screen(
+            '[%s] Total fragments: %s'
+            % (self.FD_NAME, ctx['total_frags'] if not ctx['live'] else 'unknown (live)'))
         self.report_destination(ctx['filename'])
         dl = HttpQuietDownloader(
             self.ydl,
@@ -74,13 +78,15 @@ class FragmentFD(FileDownloader):
             if s['status'] not in ('downloading', 'finished'):
                 return
 
+            time_now = time.time()
+
             frag_total_bytes = s.get('total_bytes') or 0
 
-            estimated_size = (
-                (ctx['complete_frags_downloaded_bytes'] + frag_total_bytes) /
-                (state['frag_index'] + 1) * total_frags)
-            time_now = time.time()
-            state['total_bytes_estimate'] = estimated_size
+            if not ctx['live']:
+                estimated_size = (
+                    (ctx['complete_frags_downloaded_bytes'] + frag_total_bytes) /
+                    (state['frag_index'] + 1) * total_frags)
+                state['total_bytes_estimate'] = estimated_size
             state['elapsed'] = time_now - start
 
             if s['status'] == 'finished':
@@ -91,9 +97,10 @@ class FragmentFD(FileDownloader):
             else:
                 frag_downloaded_bytes = s['downloaded_bytes']
                 state['downloaded_bytes'] += frag_downloaded_bytes - ctx['prev_frag_downloaded_bytes']
-                state['eta'] = self.calc_eta(
-                    start, time_now, estimated_size,
-                    state['downloaded_bytes'])
+                if not ctx['live']:
+                    state['eta'] = self.calc_eta(
+                        start, time_now, estimated_size,
+                        state['downloaded_bytes'])
                 state['speed'] = s.get('speed')
                 ctx['prev_frag_downloaded_bytes'] = frag_downloaded_bytes
             self._hook_progress(state)