diff --git a/src/material/tooltip/tooltip.spec.ts b/src/material/tooltip/tooltip.spec.ts
index d4e7765c28e1..b5ef3c043d84 100644
--- a/src/material/tooltip/tooltip.spec.ts
+++ b/src/material/tooltip/tooltip.spec.ts
@@ -627,6 +627,25 @@ describe('MatTooltip', () => {
       expect(overlayContainerElement.textContent).toBe('');
     }));
 
+    it('should hide when clicking away with an auxilliary button', fakeAsync(() => {
+      tooltipDirective.show();
+      tick(0);
+      fixture.detectChanges();
+      tick(500);
+
+      expect(tooltipDirective._isTooltipVisible()).toBe(true);
+      expect(overlayContainerElement.textContent).toContain(initialTooltipMessage);
+
+      dispatchFakeEvent(document.body, 'auxclick');
+      tick(0);
+      fixture.detectChanges();
+      tick(500);
+      fixture.detectChanges();
+
+      expect(tooltipDirective._isTooltipVisible()).toBe(false);
+      expect(overlayContainerElement.textContent).toBe('');
+    }));
+
     it('should not hide immediately if a click fires while animating', fakeAsync(() => {
       tooltipDirective.show();
       tick(0);
diff --git a/src/material/tooltip/tooltip.ts b/src/material/tooltip/tooltip.ts
index 28f374f62393..54c26086bbe3 100644
--- a/src/material/tooltip/tooltip.ts
+++ b/src/material/tooltip/tooltip.ts
@@ -697,6 +697,7 @@ export class MatTooltip implements OnDestroy, AfterViewInit {
     // won't be rendered if the animations are disabled or there is no web animations polyfill.
     '[style.zoom]': '_visibility === "visible" ? 1 : null',
     '(body:click)': 'this._handleBodyInteraction()',
+    '(body:auxclick)': 'this._handleBodyInteraction()',
     'aria-hidden': 'true',
   }
 })