diff --git a/test/spec/ol/coordinate.test.js b/test/spec/ol/coordinate.test.js
index 3cfd27d901..0b07c41956 100644
--- a/test/spec/ol/coordinate.test.js
+++ b/test/spec/ol/coordinate.test.js
@@ -1,4 +1,5 @@
 import Circle from '../../../src/ol/geom/Circle.js';
+import Projection from '../../../src/ol/proj/Projection.js';
 import {
   add as addCoordinate,
   closestOnCircle,
@@ -271,5 +272,14 @@ describe('ol.coordinate', function () {
     it('moves far off right coordinate to real world', function () {
       expect(wrapX([1096, 48], projection)).to.eql([16, 48]);
     });
+    
+    const swiss = new Projection({
+      code: 'EPSG:21781',
+      units: 'm',
+    });
+    
+    it('leaves non-global projection coordinates untouched', function () {
+      expect(wrapX([1096, 48], swiss)).to.eql([1096, 48]);
+    });
   });
 });