diff --git a/libavformat/asfdec.c b/libavformat/asfdec.c
index 8d6de4a256..4db908d3d9 100644
--- a/libavformat/asfdec.c
+++ b/libavformat/asfdec.c
@@ -1538,6 +1538,13 @@ static int asf_read_seek(AVFormatContext *s, int stream_index,
             return ret;
     }
 
+    /* explicitly handle the case of seeking to 0 */
+    if (!pts) {
+        asf_reset_header(s);
+        avio_seek(s->pb, s->data_offset, SEEK_SET);
+        return 0;
+    }
+
     if (!asf->index_read) {
         ret = asf_build_simple_index(s, stream_index);
         if (ret < 0)