--- a/src/http/modules/ngx_http_limit_zone_module.c
+++ b/src/http/modules/ngx_http_limit_zone_module.c
@@ -210,11 +210,6 @@ ngx_http_limit_zone_handler(ngx_http_req
     node = ngx_slab_alloc_locked(shpool, n);
     if (node == NULL) {
         ngx_shmtx_unlock(&shpool->mutex);
-
-        ngx_log_error(NGX_LOG_CRIT, r->connection->log, 0,
-                      "could not allocate memory in zone \"%V\"",
-                      &lzcf->shm_zone->name);
-
         return NGX_HTTP_SERVICE_UNAVAILABLE;
     }
 
@@ -321,6 +316,7 @@ ngx_http_limit_zone_init_zone(ngx_shm_zo
 {
     ngx_http_limit_zone_ctx_t  *octx = data;
 
+    size_t                      len;
     ngx_slab_pool_t            *shpool;
     ngx_rbtree_node_t          *sentinel;
     ngx_http_limit_zone_ctx_t  *ctx;
@@ -356,6 +352,15 @@ ngx_http_limit_zone_init_zone(ngx_shm_zo
     ngx_rbtree_init(ctx->rbtree, sentinel,
                     ngx_http_limit_zone_rbtree_insert_value);
 
+    len = sizeof(" in limit_zone \"\"") + shm_zone->name.len;
+
+    shpool->log_ctx = ngx_slab_alloc(shpool, len);
+    if (shpool->log_ctx == NULL) {
+        return NGX_ERROR;
+    }
+
+    ngx_sprintf(shpool->log_ctx, " in limit_zone \"%V\"%Z", &shm_zone->name);
+
     return NGX_OK;
 }