diff --git a/src/material/tabs/tab-group.spec.ts b/src/material/tabs/tab-group.spec.ts
index 71705913bbfa..bfc7c9fd86e1 100644
--- a/src/material/tabs/tab-group.spec.ts
+++ b/src/material/tabs/tab-group.spec.ts
@@ -898,6 +898,29 @@ describe('MatTabGroup', () => {
         'Child 3',
       ]);
     });
+
+    it('should emit selectedTabChange in the same task as selectedIndexChange', async () => {
+      const fixture = TestBed.createComponent(TabGroupWithBoundIndex);
+      fixture.detectChanges();
+
+      const tabGroup = fixture.componentInstance.tabGroup;
+      const emissions: string[] = [];
+
+      tabGroup.selectedIndexChange.subscribe(() => emissions.push('selectedIndexChange'));
+      tabGroup.selectedTabChange.subscribe(() => emissions.push('selectedTabChange'));
+
+      fixture.componentInstance.selectedIndex = 2;
+      fixture.changeDetectorRef.markForCheck();
+      fixture.detectChanges();
+
+      // Flush the microtask queue. Both events should have been delivered by now. If
+      // `selectedTabChange` is delivered in a later task, an index that has since been
+      // superseded can be handed to the app, which can push a stale value back into
+      // `selectedIndex` and cause an endless toggle.
+      await Promise.resolve();
+
+      expect(emissions).toEqual(['selectedIndexChange', 'selectedTabChange']);
+    });
   });
 
   describe('nested tabs', () => {
@@ -1649,3 +1672,19 @@ class TabsWithAlignConfig {}
   changeDetection: ChangeDetectionStrategy.Eager,
 })
 class TabsWithAlignCenter {}
+
+@Component({
+  template: `
+    <mat-tab-group [selectedIndex]="selectedIndex">
+      <mat-tab label="One">One</mat-tab>
+      <mat-tab label="Two">Two</mat-tab>
+      <mat-tab label="Three">Three</mat-tab>
+    </mat-tab-group>
+  `,
+  imports: [MatTabsModule],
+  changeDetection: ChangeDetectionStrategy.Eager,
+})
+class TabGroupWithBoundIndex {
+  @ViewChild(MatTabGroup) tabGroup!: MatTabGroup;
+  selectedIndex = 0;
+}
diff --git a/src/material/tabs/tab-group.ts b/src/material/tabs/tab-group.ts
index e5cc623effc7..1389369f15af 100644
--- a/src/material/tabs/tab-group.ts
+++ b/src/material/tabs/tab-group.ts
@@ -282,7 +282,7 @@ export class MatTabGroup
 
   /** Event emitted when the tab selection has changed. */
   @Output() readonly selectedTabChange: EventEmitter<MatTabChangeEvent> =
-    new EventEmitter<MatTabChangeEvent>(true);
+    new EventEmitter<MatTabChangeEvent>();
 
   private _groupId: string;
 
@@ -332,7 +332,6 @@ export class MatTabGroup
       const isFirstRun = this._selectedIndex == null;
 
       if (!isFirstRun) {
-        this.selectedTabChange.emit(this._createChangeEvent(indexToSelect));
         // Preserve the height so page doesn't scroll up during tab change.
         // Fixes https://stackblitz.com/edit/mat-tabs-scroll-page-top-on-tab-change
         const wrapper = this._tabBodyWrapper.nativeElement;
@@ -346,6 +345,7 @@ export class MatTabGroup
 
         if (!isFirstRun) {
           this.selectedIndexChange.emit(indexToSelect);
+          this.selectedTabChange.emit(this._createChangeEvent(indexToSelect));
           // Clear the min-height, this was needed during tab change to avoid
           // unnecessary scrolling.
           this._tabBodyWrapper.nativeElement.style.minHeight = '';