diff --git a/src/plugins/embeddable/public/lib/panel/panel_header/panel_header.tsx b/src/plugins/embeddable/public/lib/panel/panel_header/panel_header.tsx
index 35a10ed848e83..bb2eb52f9df72 100644
--- a/src/plugins/embeddable/public/lib/panel/panel_header/panel_header.tsx
+++ b/src/plugins/embeddable/public/lib/panel/panel_header/panel_header.tsx
@@ -62,16 +62,34 @@ function renderNotifications(
   notifications: Array<Action<EmbeddableContext>>,
   embeddable: IEmbeddable
 ) {
-  return notifications.map(notification => (
-    <EuiNotificationBadge
-      data-test-subj={`embeddablePanelNotification-${notification.id}`}
-      key={notification.id}
-      style={{ marginTop: '4px', marginRight: '4px' }}
-      onClick={() => notification.execute({ embeddable })}
-    >
-      {notification.getDisplayName({ embeddable })}
-    </EuiNotificationBadge>
-  ));
+  return notifications.map(notification => {
+    const context = { embeddable };
+
+    let badge = (
+      <EuiNotificationBadge
+        data-test-subj={`embeddablePanelNotification-${notification.id}`}
+        key={notification.id}
+        style={{ marginTop: '4px', marginRight: '4px' }}
+        onClick={() => notification.execute(context)}
+      >
+        {notification.getDisplayName(context)}
+      </EuiNotificationBadge>
+    );
+
+    if (notification.getDisplayNameTooltip) {
+      const tooltip = notification.getDisplayNameTooltip(context);
+
+      if (tooltip) {
+        badge = (
+          <EuiToolTip position="top" delay="regular" content={tooltip}>
+            {badge}
+          </EuiToolTip>
+        );
+      }
+    }
+
+    return badge;
+  });
 }
 
 function renderTooltip(description: string) {
diff --git a/src/plugins/ui_actions/public/actions/action_internal.ts b/src/plugins/ui_actions/public/actions/action_internal.ts
index e3504c7c5d301..aba1e22fe09ee 100644
--- a/src/plugins/ui_actions/public/actions/action_internal.ts
+++ b/src/plugins/ui_actions/public/actions/action_internal.ts
@@ -48,6 +48,11 @@ export class ActionInternal<A extends ActionDefinition = ActionDefinition>
     return this.definition.getDisplayName(context);
   }
 
+  public getDisplayNameTooltip(context: Context<A>): string {
+    if (!this.definition.getDisplayNameTooltip) return '';
+    return this.definition.getDisplayNameTooltip(context);
+  }
+
   public async isCompatible(context: Context<A>): Promise<boolean> {
     if (!this.definition.isCompatible) return true;
     return await this.definition.isCompatible(context);
diff --git a/src/plugins/ui_actions/public/util/presentable.ts b/src/plugins/ui_actions/public/util/presentable.ts
index f43b776e74658..57070f7673f61 100644
--- a/src/plugins/ui_actions/public/util/presentable.ts
+++ b/src/plugins/ui_actions/public/util/presentable.ts
@@ -50,6 +50,12 @@ export interface Presentable<Context extends object = object> {
    */
   getDisplayName(context: Context): string;
 
+  /**
+   * Returns tooltip text which should be displayed when user hovers this object.
+   * Should return empty string if tooltip should not be displayed.
+   */
+  getDisplayNameTooltip(context: Context): string;
+
   /**
    * This method should return a link if this item can be clicked on. The link
    * is used to navigate user if user middle-clicks it or Ctrl + clicks or
diff --git a/x-pack/.i18nrc.json b/x-pack/.i18nrc.json
index a033515fef8b0..7c464d44d5761 100644
--- a/x-pack/.i18nrc.json
+++ b/x-pack/.i18nrc.json
@@ -14,6 +14,7 @@
     "xpack.dashboardMode": "legacy/plugins/dashboard_mode",
     "xpack.data": "plugins/data_enhanced",
     "xpack.drilldowns": "plugins/drilldowns",
+    "xpack.embeddableEnhanced": "plugins/embeddable_enhanced",
     "xpack.endpoint": "plugins/endpoint",
     "xpack.features": "plugins/features",
     "xpack.fileUpload": "plugins/file_upload",
diff --git a/x-pack/plugins/advanced_ui_actions/public/dynamic_actions/action_factory.ts b/x-pack/plugins/advanced_ui_actions/public/dynamic_actions/action_factory.ts
index f1aef5deff49e..262a5ef7d4561 100644
--- a/x-pack/plugins/advanced_ui_actions/public/dynamic_actions/action_factory.ts
+++ b/x-pack/plugins/advanced_ui_actions/public/dynamic_actions/action_factory.ts
@@ -42,6 +42,10 @@ export class ActionFactory<
     return this.def.getDisplayName(context);
   }
 
+  public getDisplayNameTooltip(context: FactoryContext): string {
+    return '';
+  }
+
   public async isCompatible(context: FactoryContext): Promise<boolean> {
     if (!this.def.isCompatible) return true;
     return await this.def.isCompatible(context);
diff --git a/x-pack/plugins/embeddable_enhanced/public/actions/panel_notifications_action.test.ts b/x-pack/plugins/embeddable_enhanced/public/actions/panel_notifications_action.test.ts
index 839379387e094..158641cd97695 100644
--- a/x-pack/plugins/embeddable_enhanced/public/actions/panel_notifications_action.test.ts
+++ b/x-pack/plugins/embeddable_enhanced/public/actions/panel_notifications_action.test.ts
@@ -47,6 +47,40 @@ describe('PanelNotificationsAction', () => {
     });
   });
 
+  describe('getDisplayNameTooltip', () => {
+    test('returns empty string if embeddable has no event', async () => {
+      const context = createContext();
+      const action = new PanelNotificationsAction();
+
+      const name = await action.getDisplayNameTooltip(context);
+      expect(name).toBe('');
+    });
+
+    test('returns "1 drilldown" if embeddable has one event', async () => {
+      const context = createContext([{}]);
+      const action = new PanelNotificationsAction();
+
+      const name = await action.getDisplayNameTooltip(context);
+      expect(name).toBe('Panel has 1 drilldown');
+    });
+
+    test('returns "2 drilldowns" if embeddable has two events', async () => {
+      const context = createContext([{}, {}]);
+      const action = new PanelNotificationsAction();
+
+      const name = await action.getDisplayNameTooltip(context);
+      expect(name).toBe('Panel has 2 drilldowns');
+    });
+
+    test('returns "3 drilldowns" if embeddable has three events', async () => {
+      const context = createContext([{}, {}, {}]);
+      const action = new PanelNotificationsAction();
+
+      const name = await action.getDisplayNameTooltip(context);
+      expect(name).toBe('Panel has 3 drilldowns');
+    });
+  });
+
   describe('isCompatible', () => {
     test('returns false if not in "edit" mode', async () => {
       const context = createContext([{}]);
diff --git a/x-pack/plugins/embeddable_enhanced/public/actions/panel_notifications_action.ts b/x-pack/plugins/embeddable_enhanced/public/actions/panel_notifications_action.ts
index 19e0ac2a5a6d8..165ce24c13ea3 100644
--- a/x-pack/plugins/embeddable_enhanced/public/actions/panel_notifications_action.ts
+++ b/x-pack/plugins/embeddable_enhanced/public/actions/panel_notifications_action.ts
@@ -4,10 +4,26 @@
  * you may not use this file except in compliance with the Elastic License.
  */
 
+import { i18n } from '@kbn/i18n';
 import { UiActionsActionDefinition as ActionDefinition } from '../../../../../src/plugins/ui_actions/public';
 import { ViewMode } from '../../../../../src/plugins/embeddable/public';
 import { EnhancedEmbeddableContext, EnhancedEmbeddable } from '../types';
 
+export const txtOneDrilldown = i18n.translate(
+  'xpack.embeddableEnhanced.actions.panelNotifications.oneDrilldown',
+  {
+    defaultMessage: 'Panel has 1 drilldown',
+  }
+);
+
+export const txtManyDrilldowns = (count: number) =>
+  i18n.translate('xpack.embeddableEnhanced.actions.panelNotifications.manyDrilldowns', {
+    defaultMessage: 'Panel has {count} drilldowns',
+    values: {
+      count: String(count),
+    },
+  });
+
 export const ACTION_PANEL_NOTIFICATIONS = 'ACTION_PANEL_NOTIFICATIONS';
 
 /**
@@ -25,6 +41,11 @@ export class PanelNotificationsAction implements ActionDefinition<EnhancedEmbedd
     return String(this.getEventCount(embeddable));
   };
 
+  public readonly getDisplayNameTooltip = ({ embeddable }: EnhancedEmbeddableContext) => {
+    const count = this.getEventCount(embeddable);
+    return !count ? '' : count === 1 ? txtOneDrilldown : txtManyDrilldowns(count);
+  };
+
   public readonly isCompatible = async ({ embeddable }: EnhancedEmbeddableContext) => {
     if (embeddable.getInput().viewMode !== ViewMode.EDIT) return false;
     return this.getEventCount(embeddable) > 0;