diff --git a/src/ol/render/webgl/linestringreplay/index.js b/src/ol/render/webgl/linestringreplay/index.js
index 3e71e3b2ff..911ca33955 100644
--- a/src/ol/render/webgl/linestringreplay/index.js
+++ b/src/ol/render/webgl/linestringreplay/index.js
@@ -352,10 +352,20 @@ ol.render.webgl.LineStringReplay.prototype.drawMultiLineString = function(multiL
  */
 ol.render.webgl.LineStringReplay.prototype.drawPolygonCoordinates = function(
     flatCoordinates, holeFlatCoordinates, stride) {
+  if (!ol.geom.flat.topology.lineStringIsClosed(flatCoordinates, 0,
+      flatCoordinates.length, stride)) {
+    flatCoordinates.push(flatCoordinates[0]);
+    flatCoordinates.push(flatCoordinates[1]);
+  }
   this.drawCoordinates_(flatCoordinates, 0, flatCoordinates.length, stride);
   if (holeFlatCoordinates.length) {
     var i, ii;
     for (i = 0, ii = holeFlatCoordinates.length; i < ii; ++i) {
+      if (!ol.geom.flat.topology.lineStringIsClosed(holeFlatCoordinates[i], 0,
+          holeFlatCoordinates[i].length, stride)) {
+        holeFlatCoordinates[i].push(holeFlatCoordinates[i][0]);
+        holeFlatCoordinates[i].push(holeFlatCoordinates[i][1]);
+      }
       this.drawCoordinates_(holeFlatCoordinates[i], 0,
           holeFlatCoordinates[i].length, stride);
     }
diff --git a/test/spec/ol/render/webgl/polygonreplay.test.js b/test/spec/ol/render/webgl/polygonreplay.test.js
index e6b4e55064..d67431fc59 100644
--- a/test/spec/ol/render/webgl/polygonreplay.test.js
+++ b/test/spec/ol/render/webgl/polygonreplay.test.js
@@ -37,25 +37,25 @@ describe('ol.render.webgl.PolygonReplay', function() {
           [[[1000, 2000], [1200, 2000], [1200, 3000]]]
           );
       replay.drawPolygon(polygon1, null);
-      expect(replay.vertices).to.have.length(6);
+      expect(replay.vertices).to.have.length(8);
       expect(replay.indices).to.have.length(3);
 
       expect(replay.vertices).to.eql([
-        1200, 3000, 1200, 2000, 1000, 2000]);
+        1000, 2000, 1200, 3000, 1200, 2000, 1000, 2000]);
       expect(replay.indices).to.eql([2, 0, 1]);
 
       var polygon2 = new ol.geom.Polygon(
           [[[4000, 2000], [4200, 2000], [4200, 3000]]]
           );
       replay.drawPolygon(polygon2, null);
-      expect(replay.vertices).to.have.length(12);
+      expect(replay.vertices).to.have.length(16);
       expect(replay.indices).to.have.length(6);
 
       expect(replay.vertices).to.eql([
-        1200, 3000, 1200, 2000, 1000, 2000,
-        4200, 3000, 4200, 2000, 4000, 2000
+        1000, 2000, 1200, 3000, 1200, 2000, 1000, 2000,
+        4000, 2000, 4200, 3000, 4200, 2000, 4000, 2000
       ]);
-      expect(replay.indices).to.eql([2, 0, 1, 5, 3, 4]);
+      expect(replay.indices).to.eql([2, 0, 1, 6, 4, 5]);
     });
   });
 
@@ -70,14 +70,14 @@ describe('ol.render.webgl.PolygonReplay', function() {
         [[[4000, 2000], [4200, 2000], [4200, 3000]]]
       ]);
       replay.drawMultiPolygon(multiPolygon, null);
-      expect(replay.vertices).to.have.length(12);
+      expect(replay.vertices).to.have.length(16);
       expect(replay.indices).to.have.length(6);
 
       expect(replay.vertices).to.eql([
-        1200, 3000, 1200, 2000, 1000, 2000,
-        4200, 3000, 4200, 2000, 4000, 2000
+        1000, 2000, 1200, 3000, 1200, 2000, 1000, 2000,
+        4000, 2000, 4200, 3000, 4200, 2000, 4000, 2000
       ]);
-      expect(replay.indices).to.eql([2, 0, 1, 5, 3, 4]);
+      expect(replay.indices).to.eql([2, 0, 1, 6, 4, 5]);
     });
   });