diff --git a/libavcodec/jpeg2000.c b/libavcodec/jpeg2000.c
index cb1a64d143..dc3311052e 100644
--- a/libavcodec/jpeg2000.c
+++ b/libavcodec/jpeg2000.c
@@ -272,7 +272,7 @@ int ff_jpeg2000_init_component(Jpeg2000Component *comp,
                                         reslevel->log2_prec_height) -
                 (reslevel->coord[1][0] >> reslevel->log2_prec_height);
 
-        reslevel->band = av_malloc_array(reslevel->nbands, sizeof(*reslevel->band));
+        reslevel->band = av_calloc(reslevel->nbands, sizeof(*reslevel->band));
         if (!reslevel->band)
             return AVERROR(ENOMEM);
 
@@ -368,7 +368,7 @@ int ff_jpeg2000_init_component(Jpeg2000Component *comp,
             for (j = 0; j < 2; j++)
                 band->coord[1][j] = ff_jpeg2000_ceildiv(band->coord[1][j], dy);
 
-            band->prec = av_malloc_array(reslevel->num_precincts_x *
+            band->prec = av_calloc(reslevel->num_precincts_x *
                                          (uint64_t)reslevel->num_precincts_y,
                                          sizeof(*band->prec));
             if (!band->prec)
@@ -509,10 +509,12 @@ void ff_jpeg2000_cleanup(Jpeg2000Component *comp, Jpeg2000CodingStyle *codsty)
         for (bandno = 0; bandno < reslevel->nbands; bandno++) {
             Jpeg2000Band *band = reslevel->band + bandno;
             for (precno = 0; precno < reslevel->num_precincts_x * reslevel->num_precincts_y; precno++) {
-                Jpeg2000Prec *prec = band->prec + precno;
-                av_freep(&prec->zerobits);
-                av_freep(&prec->cblkincl);
-                av_freep(&prec->cblk);
+                if (band->prec) {
+                    Jpeg2000Prec *prec = band->prec + precno;
+                    av_freep(&prec->zerobits);
+                    av_freep(&prec->cblkincl);
+                    av_freep(&prec->cblk);
+                }
             }
 
             av_freep(&band->prec);