diff --git a/src/ol/control/OverviewMap.js b/src/ol/control/OverviewMap.js
index 4ee1242726..a77f8ae698 100644
--- a/src/ol/control/OverviewMap.js
+++ b/src/ol/control/OverviewMap.js
@@ -17,6 +17,7 @@ import {replaceNode} from '../dom.js';
 import {listen, listenOnce} from '../events.js';
 import EventType from '../events/EventType.js';
 import {containsExtent, equals as equalsExtent, getBottomRight, getTopLeft, scaleFromCenter} from '../extent.js';
+import View from '../View.js';
 
 
 /**
@@ -59,9 +60,8 @@ class ControlledMap extends PluggableMap {
  * @property {HTMLElement|string} [target] Specify a target if you want the control
  * to be rendered outside of the map's viewport.
  * @property {string} [tipLabel='Overview map'] Text label to use for the button tip.
- * @property {import("../View.js").default} [view] Custom view for the overview map. If not provided,
- * a default view with an EPSG:3857 projection will be used. The main map and the overviewmap must use
- * the same projection, so a view must be provided when the default projection is not used.
+ * @property {View} [view] Custom view for the overview map (should use same projection as main map). If not provided,
+ * a default view with the same projection as the main map will be used.
  */
 
 
@@ -168,6 +168,13 @@ class OverviewMap extends Control {
     this.ovmapDiv_ = document.createElement('div');
     this.ovmapDiv_.className = 'ol-overviewmap-map';
 
+    /**
+     * Explicitly given view to be used instead of a view derived from the main map.
+     * @type {View}
+     * @private
+     */
+    this.view_ = options.view;
+
     /**
      * @type {ControlledMap}
      * @private
@@ -304,6 +311,14 @@ class OverviewMap extends Control {
    * @private
    */
   bindView_(view) {
+    if (!this.view_) {
+      // Unless an explicit view definition was given, derive default from whatever main map uses.
+      const newView = new View({
+        projection: view.getProjection()
+      });
+      this.ovmap_.setView(newView);
+    }
+
     view.addEventListener(getChangeEventType(ViewProperty.ROTATION), this.boundHandleRotationChanged_);
     // Sync once with the new view
     this.handleRotationChanged_();
diff --git a/test/spec/ol/control/overviewmap.test.js b/test/spec/ol/control/overviewmap.test.js
index 64cf8c8e8d..2a01cd5739 100644
--- a/test/spec/ol/control/overviewmap.test.js
+++ b/test/spec/ol/control/overviewmap.test.js
@@ -55,8 +55,8 @@ describe('ol.control.OverviewMap', function() {
         rotateWithView: true
       });
       map.addControl(control);
-      const ovView = control.ovmap_.getView();
-      expect(ovView.getRotation()).to.be(0);
+      const ovInitialView = control.ovmap_.getView();
+      expect(ovInitialView.getRotation()).to.be(0);
 
       const view = new View({
         center: [0, 0],
@@ -64,6 +64,7 @@ describe('ol.control.OverviewMap', function() {
         rotation: Math.PI / 2
       });
       map.setView(view);
+      const ovView = control.ovmap_.getView();
       expect(ovView.getRotation()).to.be(Math.PI / 2);
 
       view.setRotation(Math.PI / 4);
@@ -74,7 +75,6 @@ describe('ol.control.OverviewMap', function() {
       const control = new OverviewMap({
         rotateWithView: true
       });
-      const ovView = control.ovmap_.getView();
 
       const view = new View({
         center: [0, 0],
@@ -83,6 +83,7 @@ describe('ol.control.OverviewMap', function() {
       });
       map.setView(view);
       map.addControl(control);
+      const ovView = control.ovmap_.getView();
 
       view.setRotation(Math.PI / 8);
       expect(ovView.getRotation()).to.be(Math.PI / 8);
@@ -93,6 +94,38 @@ describe('ol.control.OverviewMap', function() {
       expect(ovView.getRotation()).to.be(Math.PI / 8);
     });
 
+    it('reflects projection change of main map', function() {
+      const control = new OverviewMap({
+        rotateWithView: true
+      });
+
+      map.addControl(control);
+      expect(control.ovmap_.getView().getProjection().getCode()).to.be('EPSG:3857');
+
+      map.setView(new View({
+        projection: 'EPSG:4326'
+      }));
+      expect(control.ovmap_.getView().getProjection().getCode()).to.be('EPSG:4326');
+    });
+
+    it('retains explicitly set view', function() {
+      const overviewMapView = new View();
+      const control = new OverviewMap({
+        rotateWithView: true,
+        view: overviewMapView
+      });
+
+      map.addControl(control);
+      expect(control.ovmap_.getView()).to.be(overviewMapView);
+      expect(control.ovmap_.getView().getProjection().getCode()).to.be('EPSG:3857');
+
+      map.setView(new View({
+        projection: 'EPSG:4326'
+      }));
+      expect(control.ovmap_.getView()).to.be(overviewMapView);
+      expect(control.ovmap_.getView().getProjection().getCode()).to.be('EPSG:3857');
+    });
+
     it('set target to null', function() {
       const control = new OverviewMap();