diff --git a/static/js/podcasts-web.js b/static/js/podcasts-web.js
index 075b08c..a6b2df1 100644
--- a/static/js/podcasts-web.js
+++ b/static/js/podcasts-web.js
@@ -453,6 +453,7 @@
         this.leftMs = 0;
         setFade(1);
         pause();
+        stopRadio();   // the radio sleeps too (it plays in app.js's element)
         return;
       }
       if (this.leftMs < FADE_MS) setFade(Math.max(this.leftMs / FADE_MS, 0.1));
@@ -758,7 +759,8 @@
       if (playing && Date.now() - lastSaved > 10000) saveNow(id, true);
       if (playing) skipOutro(id);
     }
-    sleep.tick(playing);
+    // The sleep timer counts while either plays (radio and podcasts share the player).
+    sleep.tick(playing || radioPlaying());
     if (playing || sleep.leftMs > 0) report();
   }, 1000);