diff --git a/lib/java/com/google/android/material/motion/MaterialBackAnimationHelper.java b/lib/java/com/google/android/material/motion/MaterialBackAnimationHelper.java
index f5cc1f884e5..4767a9180bc 100644
--- a/lib/java/com/google/android/material/motion/MaterialBackAnimationHelper.java
+++ b/lib/java/com/google/android/material/motion/MaterialBackAnimationHelper.java
@@ -71,7 +71,7 @@ public MaterialBackAnimationHelper(@NonNull V view) {
             context, R.attr.motionDurationShort2, CANCEL_DURATION_DEFAULT);
   }
 
-  protected float interpolateProgress(float progress) {
+  public float interpolateProgress(float progress) {
     return progressInterpolator.getInterpolation(progress);
   }
 
diff --git a/lib/java/com/google/android/material/navigation/NavigationView.java b/lib/java/com/google/android/material/navigation/NavigationView.java
index 4d7b709edc3..2a4bfa3024a 100644
--- a/lib/java/com/google/android/material/navigation/NavigationView.java
+++ b/lib/java/com/google/android/material/navigation/NavigationView.java
@@ -75,6 +75,7 @@
 import androidx.drawerlayout.widget.DrawerLayout;
 import androidx.drawerlayout.widget.DrawerLayout.DrawerListener;
 import androidx.drawerlayout.widget.DrawerLayout.SimpleDrawerListener;
+import com.google.android.material.animation.AnimationUtils;
 import com.google.android.material.drawable.DrawableUtils;
 import com.google.android.material.internal.ContextUtils;
 import com.google.android.material.internal.NavigationMenu;
@@ -146,6 +147,8 @@ public class NavigationView extends ScrimInsetsFrameLayout implements MaterialBa
   private boolean bottomInsetScrimEnabled = true;
 
   @Px private int drawerLayoutCornerSize = 0;
+  private final boolean drawerLayoutCornerSizeBackAnimationEnabled;
+  @Px private final int drawerLayoutCornerSizeBackAnimationMax;
   private final ShapeableDelegate shapeableDelegate = ShapeableDelegate.create(this);
 
   private final MaterialSideContainerBackHelper sideContainerBackHelper =
@@ -166,6 +169,7 @@ public void onDrawerOpened(@NonNull View drawerView) {
         public void onDrawerClosed(@NonNull View drawerView) {
           if (drawerView == NavigationView.this) {
             backOrchestrator.stopListeningForBackCallbacks();
+            maybeClearCornerSizeAnimationForDrawerLayout();
           }
         }
       };
@@ -199,6 +203,9 @@ public NavigationView(@NonNull Context context, @Nullable AttributeSet attrs, in
     // placed inside a drawer layout.
     drawerLayoutCornerSize =
         a.getDimensionPixelSize(R.styleable.NavigationView_drawerLayoutCornerSize, 0);
+    drawerLayoutCornerSizeBackAnimationEnabled = drawerLayoutCornerSize == 0;
+    drawerLayoutCornerSizeBackAnimationMax =
+        getResources().getDimensionPixelSize(R.dimen.m3_navigation_drawer_layout_corner_size);
 
     // Set the background to a MaterialShapeDrawable if it hasn't been set or if it can be converted
     // to a MaterialShapeDrawable.
@@ -400,7 +407,7 @@ public void setForceCompatClippingEnabled(boolean enabled) {
   private void maybeUpdateCornerSizeForDrawerLayout(@Px int width, @Px int height) {
     if (getParent() instanceof DrawerLayout
         && getLayoutParams() instanceof DrawerLayout.LayoutParams
-        && drawerLayoutCornerSize > 0
+        && (drawerLayoutCornerSize > 0 || drawerLayoutCornerSizeBackAnimationEnabled)
         && getBackground() instanceof MaterialShapeDrawable) {
       int layoutGravity = ((DrawerLayout.LayoutParams) getLayoutParams()).gravity;
       boolean isAbsGravityLeft =
@@ -432,6 +439,13 @@ && getBackground() instanceof MaterialShapeDrawable) {
     }
   }
 
+  private void maybeClearCornerSizeAnimationForDrawerLayout() {
+    if (drawerLayoutCornerSizeBackAnimationEnabled && drawerLayoutCornerSize != 0) {
+      drawerLayoutCornerSize = 0;
+      maybeUpdateCornerSizeForDrawerLayout(getWidth(), getHeight());
+    }
+  }
+
   private boolean hasShapeAppearance(@NonNull TintTypedArray a) {
     return a.hasValue(R.styleable.NavigationView_itemShapeAppearance)
         || a.hasValue(R.styleable.NavigationView_itemShapeAppearanceOverlay);
@@ -983,6 +997,13 @@ public void startBackProgress(@NonNull BackEventCompat backEvent) {
   public void updateBackProgress(@NonNull BackEventCompat backEvent) {
     Pair<DrawerLayout, DrawerLayout.LayoutParams> drawerLayoutPair = requireDrawerLayoutParent();
     sideContainerBackHelper.updateBackProgress(backEvent, drawerLayoutPair.second.gravity);
+
+    if (drawerLayoutCornerSizeBackAnimationEnabled) {
+      float progress = sideContainerBackHelper.interpolateProgress(backEvent.getProgress());
+      drawerLayoutCornerSize =
+          AnimationUtils.lerp(0, drawerLayoutCornerSizeBackAnimationMax, progress);
+      maybeUpdateCornerSizeForDrawerLayout(getWidth(), getHeight());
+    }
   }
 
   @Override
@@ -1009,6 +1030,7 @@ public void handleBackInvoked() {
   public void cancelBackProgress() {
     requireDrawerLayoutParent();
     sideContainerBackHelper.cancelBackProgress();
+    maybeClearCornerSizeAnimationForDrawerLayout();
   }
 
   @CanIgnoreReturnValue