diff --git a/changelog/upgrade-notes.md b/changelog/upgrade-notes.md
index 3825d1df6a..19c397bb76 100644
--- a/changelog/upgrade-notes.md
+++ b/changelog/upgrade-notes.md
@@ -4,9 +4,19 @@
 
 #### Backwards incompatible changes
 
+#### Removal of `TOUCH` constant from `ol/has`
+
+If you were previously using this constant, you can check if `'ontouchstart'` is defined in `window` instead.
+
+```js
+if ('ontouchstart' in window) {
+  // ...
+}
+```
+
 #### Removal of `GEOLOCATION` constant from `ol/has`
 
-If you were previously using this constant, you can check if `'geolocation'` is define in `navigator` instead.
+If you were previously using this constant, you can check if `'geolocation'` is defined in `navigator` instead.
 
 ```js
 if ('geolocation' in navigator) {
diff --git a/src/ol/PluggableMap.js b/src/ol/PluggableMap.js
index d4c57c4d4a..e6035259cc 100644
--- a/src/ol/PluggableMap.js
+++ b/src/ol/PluggableMap.js
@@ -22,7 +22,7 @@ import {listen, unlistenByKey, unlisten} from './events.js';
 import EventType from './events/EventType.js';
 import {createEmpty, clone, createOrUpdateEmpty, equals, getForViewAndSize, isEmpty} from './extent.js';
 import {TRUE} from './functions.js';
-import {DEVICE_PIXEL_RATIO, TOUCH} from './has.js';
+import {DEVICE_PIXEL_RATIO} from './has.js';
 import LayerGroup from './layer/Group.js';
 import {hasArea} from './size.js';
 import {DROP} from './structs/PriorityQueue.js';
@@ -230,7 +230,7 @@ class PluggableMap extends BaseObject {
      * @type {!HTMLElement}
      */
     this.viewport_ = document.createElement('div');
-    this.viewport_.className = 'ol-viewport' + (TOUCH ? ' ol-touch' : '');
+    this.viewport_.className = 'ol-viewport' + ('ontouchstart' in window ? ' ol-touch' : '');
     this.viewport_.style.position = 'relative';
     this.viewport_.style.overflow = 'hidden';
     this.viewport_.style.width = '100%';
diff --git a/src/ol/has.js b/src/ol/has.js
index 93b1e93431..c59288907c 100644
--- a/src/ol/has.js
+++ b/src/ol/has.js
@@ -39,30 +39,4 @@ export const MAC = ua.indexOf('macintosh') !== -1;
  */
 export const DEVICE_PIXEL_RATIO = window.devicePixelRatio || 1;
 
-
-/**
- * True if browser supports touch events.
- * @const
- * @type {boolean}
- * @api
- */
-export const TOUCH = 'ontouchstart' in window;
-
-
-/**
- * True if browser supports pointer events.
- * @const
- * @type {boolean}
- */
-export const POINTER = 'PointerEvent' in window;
-
-
-/**
- * True if browser supports ms pointer events (IE 10).
- * @const
- * @type {boolean}
- */
-export const MSPOINTER = !!(navigator.msPointerEnabled);
-
-
 export {HAS as WEBGL} from './webgl.js';
diff --git a/src/ol/pointer/PointerEventHandler.js b/src/ol/pointer/PointerEventHandler.js
index 2501efa12b..7f983ef9d9 100644
--- a/src/ol/pointer/PointerEventHandler.js
+++ b/src/ol/pointer/PointerEventHandler.js
@@ -34,7 +34,6 @@
 
 import {listen, unlisten} from '../events.js';
 import EventTarget from '../events/Target.js';
-import {POINTER, MSPOINTER, TOUCH} from '../has.js';
 import PointerEventType from './EventType.js';
 import MouseSource, {prepareEvent as prepareMouseEvent} from './MouseSource.js';
 import MsSource from './MsSource.js';
@@ -124,15 +123,15 @@ class PointerEventHandler extends EventTarget {
    * that generate pointer events.
    */
   registerSources() {
-    if (POINTER) {
+    if ('PointerEvent' in window) {
       this.registerSource('native', new NativeSource(this));
-    } else if (MSPOINTER) {
+    } else if (window.navigator.msPointerEnabled) {
       this.registerSource('ms', new MsSource(this));
     } else {
       const mouseSource = new MouseSource(this);
       this.registerSource('mouse', mouseSource);
 
-      if (TOUCH) {
+      if ('ontouchstart' in window) {
         this.registerSource('touch', new TouchSource(this, mouseSource));
       }
     }
diff --git a/test/spec/ol/map.test.js b/test/spec/ol/map.test.js
index 521891a6a6..28b401494a 100644
--- a/test/spec/ol/map.test.js
+++ b/test/spec/ol/map.test.js
@@ -5,7 +5,6 @@ import MapEvent from '../../../src/ol/MapEvent.js';
 import Overlay from '../../../src/ol/Overlay.js';
 import View from '../../../src/ol/View.js';
 import {LineString, Point} from '../../../src/ol/geom.js';
-import {TOUCH} from '../../../src/ol/has.js';
 import {focus} from '../../../src/ol/events/condition.js';
 import {defaults as defaultInteractions} from '../../../src/ol/interaction.js';
 import {get as getProjection} from '../../../src/ol/proj.js';
@@ -45,7 +44,7 @@ describe('ol.Map', function() {
     it('creates the viewport', function() {
       const map = new Map({});
       const viewport = map.getViewport();
-      const className = 'ol-viewport' + (TOUCH ? ' ol-touch' : '');
+      const className = 'ol-viewport' + ('ontouchstart' in window ? ' ol-touch' : '');
       expect(viewport.className).to.be(className);
     });