diff --git a/libavformat/asfdec_o.c b/libavformat/asfdec_o.c
index 91c6e8612f..ab3c7fce07 100644
--- a/libavformat/asfdec_o.c
+++ b/libavformat/asfdec_o.c
@@ -928,7 +928,7 @@ static int asf_read_data(AVFormatContext *s, const GUIDParseTable *g)
                size, asf->nb_packets);
     avio_skip(pb, 2); // skip reserved field
     asf->first_packet_offset = avio_tell(pb);
-    if (pb->seekable)
+    if (pb->seekable && !(asf->b_flags & ASF_FLAG_BROADCAST))
         align_position(pb, asf->offset, asf->data_size);
 
     return 0;
@@ -1676,7 +1676,7 @@ static int asf_read_header(AVFormatContext *s)
             size = avio_rl64(pb);
             align_position(pb, asf->offset, size);
         }
-        if (asf->data_reached && !pb->seekable)
+        if (asf->data_reached && (!pb->seekable || (asf->b_flags & ASF_FLAG_BROADCAST)))
             break;
     }