diff --git a/src/ol/render/canvas/replay.js b/src/ol/render/canvas/replay.js
index 600d03242a..549d00d3fa 100644
--- a/src/ol/render/canvas/replay.js
+++ b/src/ol/render/canvas/replay.js
@@ -1210,8 +1210,10 @@ ol.render.canvas.PolygonReplay.prototype.drawFlatCoordinatess_ = function(flatCo
   for (i = 0, ii = ends.length; i < ii; ++i) {
     var end = ends[i];
     var myBegin = this.coordinates.length;
-    var myEnd = this.appendFlatCoordinates(
-        flatCoordinates, offset, end, stride, true);
+    var myEnd = this.appendFlatCoordinates(flatCoordinates, offset, end, stride,
+        // Performance optimization: only close the ring when we do not have a
+        // stroke. Otherwise closePath() will take care of that.
+        !stroke);
     var moveToLineToInstruction =
         [ol.render.canvas.Instruction.MOVE_TO_LINE_TO, myBegin, myEnd];
     this.instructions.push(moveToLineToInstruction);