diff --git a/src/ol/source/wmtssource.js b/src/ol/source/wmtssource.js
index e4fecfcd05..caf94ad25c 100644
--- a/src/ol/source/wmtssource.js
+++ b/src/ol/source/wmtssource.js
@@ -165,7 +165,8 @@ ol.source.WMTS = function(options) {
           tmpTileCoord.y = tileCoord.y;
           tileExtent = tileGrid.getTileCoordExtent(tmpTileCoord, tmpExtent);
         }
-        if (!ol.extent.intersects(tileExtent, extent)) {
+        if (!ol.extent.intersects(tileExtent, extent) ||
+            ol.extent.touches(tileExtent, extent)) {
           return null;
         }
         return new ol.TileCoord(tileCoord.z, x, y);