diff --git a/libavcodec/jpeg2000dec.c b/libavcodec/jpeg2000dec.c
index 09b72933f2..c3d2747675 100644
--- a/libavcodec/jpeg2000dec.c
+++ b/libavcodec/jpeg2000dec.c
@@ -960,9 +960,9 @@ static int jpeg2000_decode_packet(Jpeg2000DecoderContext *s, Jpeg2000Tile *tile,
             if (!cblk->npasses) {
                 int v = expn[bandno] + numgbits - 1 -
                         tag_tree_decode(s, prec->zerobits + cblkno, 100);
-                if (v < 0) {
+                if (v < 0 || v > 30) {
                     av_log(s->avctx, AV_LOG_ERROR,
-                           "nonzerobits %d invalid\n", v);
+                           "nonzerobits %d invalid or unsupported\n", v);
                     return AVERROR_INVALIDDATA;
                 }
                 cblk->nonzerobits = v;