diff --git a/src/dzitilesource.js b/src/dzitilesource.js
index ec5ea9a9..ee862f0d 100644
--- a/src/dzitilesource.js
+++ b/src/dzitilesource.js
@@ -182,6 +182,10 @@ $.extend( $.DziTileSource.prototype, $.TileSource.prototype, /** @lends OpenSead
             yMax,
             i;
 
+        if ((this.minLevel && level < this.minLevel) || (this.maxLevel && level > this.maxLevel)) {
+            return false;
+        }
+
         if ( !rects || !rects.length ) {
             return true;
         }
diff --git a/src/tiledimage.js b/src/tiledimage.js
index 6fb68413..563dfc89 100644
--- a/src/tiledimage.js
+++ b/src/tiledimage.js
@@ -972,6 +972,7 @@ $.extend($.TiledImage.prototype, $.EventSource.prototype, /** @lends OpenSeadrag
 
         // Calculations for the interval of levels to draw
         // can return invalid intervals; fix that here if necessary
+        highestLevel = Math.max(highestLevel, this.source.minLevel);
         lowestLevel = Math.min(lowestLevel, highestLevel);
         return {
             lowestLevel: lowestLevel,