diff --git a/libavcodec/jpeg2000dec.c b/libavcodec/jpeg2000dec.c
index 84eebfd1b2..df13bea815 100644
--- a/libavcodec/jpeg2000dec.c
+++ b/libavcodec/jpeg2000dec.c
@@ -2891,6 +2891,10 @@ static int jpeg2000_decode_frame(AVCodecContext *avctx, AVFrame *picture,
         }
     }
 
+    for (int x = 0; x < s->ncomponents && s->codsty[x].transform == FF_DWT53;)
+        if (++x == s->ncomponents)
+            picture->flags |= AV_FRAME_FLAG_LOSSLESS;
+
     avctx->execute2(avctx, jpeg2000_decode_tile, picture, NULL, s->numXtiles * s->numYtiles);
 
     jpeg2000_dec_cleanup(s);
diff --git a/libavcodec/mjpegdec.c b/libavcodec/mjpegdec.c
index ef4fc075b2..fefa5e7877 100644
--- a/libavcodec/mjpegdec.c
+++ b/libavcodec/mjpegdec.c
@@ -2561,6 +2561,8 @@ eoi_parser:
             }
             if ((ret = av_frame_ref(frame, s->picture_ptr)) < 0)
                 return ret;
+            if (s->lossless)
+                frame->flags |= AV_FRAME_FLAG_LOSSLESS;
             *got_frame = 1;
             s->got_picture = 0;
 
diff --git a/libavcodec/vp9.c b/libavcodec/vp9.c
index c867626b3f..dd0efdc8d1 100644
--- a/libavcodec/vp9.c
+++ b/libavcodec/vp9.c
@@ -1592,6 +1592,10 @@ static int vp9_decode_frame(AVCodecContext *avctx, AVFrame *frame,
         f->flags |= AV_FRAME_FLAG_KEY;
     else
         f->flags &= ~AV_FRAME_FLAG_KEY;
+    if (s->s.h.lossless)
+        f->flags |= AV_FRAME_FLAG_LOSSLESS;
+    else
+        f->flags &= ~AV_FRAME_FLAG_LOSSLESS;
     f->pict_type = (s->s.h.keyframe || s->s.h.intraonly) ? AV_PICTURE_TYPE_I : AV_PICTURE_TYPE_P;
 
     // Non-existent frames have the implicit dimension 0x0 != CUR_FRAME
diff --git a/libavcodec/webp.c b/libavcodec/webp.c
index b624458d67..a965e50ac4 100644
--- a/libavcodec/webp.c
+++ b/libavcodec/webp.c
@@ -1191,6 +1191,7 @@ static int vp8_lossless_decode_frame(AVCodecContext *avctx, AVFrame *p,
     *got_frame   = 1;
     p->pict_type = AV_PICTURE_TYPE_I;
     p->flags |= AV_FRAME_FLAG_KEY;
+    p->flags |= AV_FRAME_FLAG_LOSSLESS;
     ret          = data_size;
 
 free_and_return: