diff --git a/libavformat/asfdec.c b/libavformat/asfdec.c
index 90a1df4c6a..460df2aeaf 100644
--- a/libavformat/asfdec.c
+++ b/libavformat/asfdec.c
@@ -1425,6 +1425,8 @@ static int asf_read_packet(AVFormatContext *s, AVPacket *pkt)
     while (!pb->eof_reached) {
         if (asf->state == PARSE_PACKET_HEADER) {
             asf_read_packet_header(s);
+            if (pb->eof_reached)
+                break;
             if (!asf->nb_mult_left)
                 asf->state = READ_SINGLE;
             else