diff --git a/test/spec/ol/interaction/draw.test.js b/test/spec/ol/interaction/draw.test.js
index 6b77cdfb8f..6ef5f808a4 100644
--- a/test/spec/ol/interaction/draw.test.js
+++ b/test/spec/ol/interaction/draw.test.js
@@ -75,9 +75,10 @@ describe('ol.interaction.Draw', function () {
    * @param {number} x Horizontal offset from map center.
    * @param {number} y Vertical offset from map center.
    * @param {boolean=} opt_shiftKey Shift key is pressed.
+   * @param {boolean=} opt_pointerId Pointer id.
    * @return {module:ol/MapBrowserEvent} The simulated event.
    */
-  function simulateEvent(type, x, y, opt_shiftKey) {
+  function simulateEvent(type, x, y, opt_shiftKey, opt_pointerId = 0) {
     const viewport = map.getViewport();
     // calculated in case body has top < 0 (test runner with small window)
     const position = viewport.getBoundingClientRect();
@@ -90,7 +91,7 @@ describe('ol.interaction.Draw', function () {
     event.shiftKey = shiftKey;
     event.preventDefault = function () {};
     event.pointerType = 'mouse';
-    event.pointerId = 0;
+    event.pointerId = opt_pointerId;
     const simulatedEvent = new MapBrowserEvent(type, map, event);
     map.handleMapBrowserEvent(simulatedEvent);
     return simulatedEvent;
@@ -219,6 +220,17 @@ describe('ol.interaction.Draw', function () {
       expect(features).to.have.length(0);
     });
 
+    it('does not draw a point when multiple pointers are involved', function () {
+      simulateEvent('pointerdown', 10, 20, false, 1);
+      simulateEvent('pointerdown', 10, 20, false, 2);
+      simulateEvent('pointermove', 10, 30, false, 1);
+      simulateEvent('pointermove', 10, 10, false, 2);
+      simulateEvent('pointerup', 10, 30, false, 1);
+      simulateEvent('pointerup', 10, 10, false, 2);
+      const features = source.getFeatures();
+      expect(features).to.have.length(0);
+    });
+
     it('triggers draw events', function () {
       const ds = sinon.spy();
       const de = sinon.spy();