diff --git a/packages/popover/src/vaadin-popover.js b/packages/popover/src/vaadin-popover.js
index 6545d1861c..8c4312e617 100644
--- a/packages/popover/src/vaadin-popover.js
+++ b/packages/popover/src/vaadin-popover.js
@@ -453,6 +453,7 @@ class Popover extends PopoverPositionMixin(
     this.__onTargetClick = this.__onTargetClick.bind(this);
     this.__onTargetFocusIn = this.__onTargetFocusIn.bind(this);
     this.__onTargetFocusOut = this.__onTargetFocusOut.bind(this);
+    this.__onTargetMouseDown = this.__onTargetMouseDown.bind(this);
     this.__onTargetMouseEnter = this.__onTargetMouseEnter.bind(this);
     this.__onTargetMouseLeave = this.__onTargetMouseLeave.bind(this);
 
@@ -550,6 +551,7 @@ class Popover extends PopoverPositionMixin(
     target.addEventListener('click', this.__onTargetClick);
     target.addEventListener('mouseenter', this.__onTargetMouseEnter);
     target.addEventListener('mouseleave', this.__onTargetMouseLeave);
+    target.addEventListener('mousedown', this.__onTargetMouseDown);
     target.addEventListener('focusin', this.__onTargetFocusIn);
     target.addEventListener('focusout', this.__onTargetFocusOut);
   }
@@ -563,6 +565,7 @@ class Popover extends PopoverPositionMixin(
     target.removeEventListener('click', this.__onTargetClick);
     target.removeEventListener('mouseenter', this.__onTargetMouseEnter);
     target.removeEventListener('mouseleave', this.__onTargetMouseLeave);
+    target.removeEventListener('mousedown', this.__onTargetMouseDown);
     target.removeEventListener('focusin', this.__onTargetFocusIn);
     target.removeEventListener('focusout', this.__onTargetFocusOut);
   }
@@ -805,6 +808,17 @@ class Popover extends PopoverPositionMixin(
     this.__handleMouseLeave();
   }
 
+  /** @private */
+  __onTargetMouseDown() {
+    if (this._overlayElement.opened && !isLastOverlay(this._overlayElement)) {
+      return;
+    }
+
+    if (this.__hasTrigger('hover') && !this.__hasTrigger('click')) {
+      this._openedStateController.close(true);
+    }
+  }
+
   /** @private */
   __onOverlayFocusIn() {
     this.__focusInside = true;
diff --git a/packages/popover/test/trigger.test.js b/packages/popover/test/trigger.test.js
index 9810106933..fba184aea3 100644
--- a/packages/popover/test/trigger.test.js
+++ b/packages/popover/test/trigger.test.js
@@ -149,6 +149,15 @@ describe('trigger', () => {
       expect(overlay.opened).to.be.true;
     });
 
+    it('should close on target mousedown', async () => {
+      mouseenter(target);
+      await nextRender();
+
+      mousedown(target);
+      await nextUpdate(popover);
+      expect(overlay.opened).to.be.false;
+    });
+
     it('should not open on target mouseenter when detached', async () => {
       popover.remove();
       mouseenter(target);
@@ -417,6 +426,21 @@ describe('trigger', () => {
     });
   });
 
+  describe('hover and click', () => {
+    beforeEach(async () => {
+      popover.trigger = ['hover', 'click'];
+      await nextUpdate(popover);
+    });
+
+    it('should not close on target mousedown', async () => {
+      mouseenter(target);
+      await nextRender();
+      mousedown(target);
+      await nextUpdate(popover);
+      expect(overlay.opened).to.be.true;
+    });
+  });
+
   describe('focus and click', () => {
     beforeEach(async () => {
       popover.trigger = ['click', 'focus'];