diff --git a/libavformat/segment.c b/libavformat/segment.c
index ad313a316f..3568d2a0de 100644
--- a/libavformat/segment.c
+++ b/libavformat/segment.c
@@ -65,6 +65,7 @@ typedef struct {
     const AVClass *class;  /**< Class for private options. */
     int segment_idx;       ///< index of the segment file to write, starting from 0
     int segment_idx_wrap;  ///< number after which the index wraps
+    int segment_idx_wrap_nb;  ///< number of time the index has wraped
     int segment_count;     ///< number of segment files already written
     AVOutputFormat *oformat;
     AVFormatContext *avf;
@@ -199,6 +200,9 @@ static int segment_start(AVFormatContext *s, int write_header)
     }
 
     seg->segment_idx++;
+    if ((seg->segment_idx_wrap) && (seg->segment_idx%seg->segment_idx_wrap == 0))
+        seg->segment_idx_wrap_nb++;
+
     if ((err = set_segment_filename(s)) < 0)
         return err;
 
@@ -689,7 +693,7 @@ static int seg_write_packet(AVFormatContext *s, AVPacket *pkt)
         if ((ret = segment_start(s, seg->individual_header_trailer)) < 0)
             goto fail;
 
-        seg->cur_entry.index = seg->segment_idx;
+        seg->cur_entry.index = seg->segment_idx + seg->segment_idx_wrap*seg->segment_idx_wrap_nb;
         seg->cur_entry.start_time = (double)pkt->pts * av_q2d(st->time_base);
         seg->cur_entry.start_pts = av_rescale_q(pkt->pts, st->time_base, AV_TIME_BASE_Q);
     } else if (pkt->pts != AV_NOPTS_VALUE) {
@@ -795,6 +799,7 @@ static const AVOption options[] = {
     { "segment_frames",    "set segment split frame numbers",            OFFSET(frames_str),AV_OPT_TYPE_STRING,{.str = NULL},  0, 0,       E },
     { "segment_wrap",      "set number after which the index wraps",     OFFSET(segment_idx_wrap), AV_OPT_TYPE_INT, {.i64 = 0}, 0, INT_MAX, E },
     { "segment_start_number", "set the sequence number of the first segment", OFFSET(segment_idx), AV_OPT_TYPE_INT, {.i64 = 0}, 0, INT_MAX, E },
+    { "segment_wrap_number", "set the number of wrap before the first segment", OFFSET(segment_idx_wrap_nb), AV_OPT_TYPE_INT, {.i64 = 0}, 0, INT_MAX, E },
 
     { "individual_header_trailer", "write header/trailer to each segment", OFFSET(individual_header_trailer), AV_OPT_TYPE_INT, {.i64 = 1}, 0, 1, E },
     { "write_header_trailer", "write a header to the first segment and a trailer to the last one", OFFSET(write_header_trailer), AV_OPT_TYPE_INT, {.i64 = 1}, 0, 1, E },