diff --git a/src/lib/openjp2/tcd.c b/src/lib/openjp2/tcd.c
index 567798525..08c5a765a 100644
--- a/src/lib/openjp2/tcd.c
+++ b/src/lib/openjp2/tcd.c
@@ -1182,8 +1182,9 @@ static OPJ_BOOL opj_tcd_code_block_enc_allocate_data(opj_tcd_cblk_enc_t *
 {
     OPJ_UINT32 l_data_size;
 
-    l_data_size = (OPJ_UINT32)((p_code_block->x1 - p_code_block->x0) *
-                               (p_code_block->y1 - p_code_block->y0) * (OPJ_INT32)sizeof(OPJ_UINT32));
+    /* The +1 is needed for https://github.com/uclouvain/openjpeg/issues/835 */
+    l_data_size = 1 + (OPJ_UINT32)((p_code_block->x1 - p_code_block->x0) *
+                                   (p_code_block->y1 - p_code_block->y0) * (OPJ_INT32)sizeof(OPJ_UINT32));
 
     if (l_data_size > p_code_block->data_size) {
         if (p_code_block->data) {