diff --git a/libavformat/utils.c b/libavformat/utils.c
index 40f0089c77..eaa8bd901f 100644
--- a/libavformat/utils.c
+++ b/libavformat/utils.c
@@ -2958,7 +2958,9 @@ int avformat_write_header(AVFormatContext *s, AVDictionary **options)
                 ret = AVERROR(EINVAL);
                 goto fail;
             }
-            if(av_cmp_q(st->sample_aspect_ratio, st->codec->sample_aspect_ratio)){
+            if(av_cmp_q(st->sample_aspect_ratio, st->codec->sample_aspect_ratio)
+               && FFABS(av_q2d(st->sample_aspect_ratio) - av_q2d(st->codec->sample_aspect_ratio)) > 0.001
+            ){
                 av_log(s, AV_LOG_ERROR, "Aspect ratio mismatch between encoder and muxer layer\n");
                 ret = AVERROR(EINVAL);
                 goto fail;