diff --git a/libavformat/asfdec.c b/libavformat/asfdec.c
index 6dc34d9735..305c01c62b 100644
--- a/libavformat/asfdec.c
+++ b/libavformat/asfdec.c
@@ -1457,6 +1457,7 @@ static int asf_read_close(AVFormatContext *s)
         av_dict_free(&asf->asf_sd[i].asf_met);
     }
 
+    asf->nb_streams = 0;
     return 0;
 }