diff --git a/src/material/menu/menu-trigger.ts b/src/material/menu/menu-trigger.ts
index 753ec907c611..8fb06b282b07 100644
--- a/src/material/menu/menu-trigger.ts
+++ b/src/material/menu/menu-trigger.ts
@@ -187,6 +187,17 @@ export class MatMenuTrigger implements AfterContentInit, OnDestroy {
 
     this._menuItemInstance?._setTriggersSubmenu(this.triggersSubmenu());
   }
+  private _pressedWhileOpen: boolean = false;
+  @Input()
+  set pressedWhileOpen(value: boolean) {
+    this._pressedWhileOpen = value;
+    if (value) {
+      this._element.nativeElement.classList.add('stay-open-while-press');
+    }
+  }
+  get pressedWhileOpen(): boolean {
+    return this._pressedWhileOpen;
+  }
   private _menu: MatMenuPanel | null;
 
   /** Data to be passed along to any lazily-rendered content. */
diff --git a/src/material/menu/menu.scss b/src/material/menu/menu.scss
index 517f0626b524..b49c1df2fbd6 100644
--- a/src/material/menu/menu.scss
+++ b/src/material/menu/menu.scss
@@ -12,7 +12,12 @@ $token-slots: m2-menu.get-token-slots();
 mat-menu {
   display: none;
 }
-
+.mat-mdc-menu-trigger.stay-open-while-press[aria-expanded='true'] {
+  .mat-mdc-button-persistent-ripple:before {
+    opacity: var(--mat-icon-button-pressed-state-layer-opacity);
+  }
+}
+ 
 .mat-mdc-menu-content {
   margin: 0;
   padding: 8px 0;