diff --git a/src/TransitionView.tsx b/src/TransitionView.tsx
index f402b5c..a3e43c0 100644
--- a/src/TransitionView.tsx
+++ b/src/TransitionView.tsx
@@ -24,6 +24,7 @@ import type {
   WithTimingConfig,
 } from 'react-native-reanimated';
 
+import { resolveOverlayRadius } from './overlayRadius';
 import { TransitionCoordinator } from './TransitionCoordinator';
 import type { TransitionEntry } from './TransitionCoordinator';
 import type { SharedTransitionEasing } from './types';
@@ -61,7 +62,10 @@ export function TransitionView({ entry }: { entry: TransitionEntry }) {
   const y = useSharedValue(from.y);
   const width = useSharedValue(from.width);
   const height = useSharedValue(from.height);
-  const radius = useSharedValue(config.morphBorderRadius ? fromRadius : 0);
+  const radius = useSharedValue(
+    resolveOverlayRadius(config.morphBorderRadius, fromRadius, entry.toRadius)
+      .start
+  );
   const fade = useSharedValue(0);
   /**
    * Drives completion. It always travels 0 → 1, which matters: Reanimated's
@@ -104,7 +108,9 @@ export function TransitionView({ entry }: { entry: TransitionEntry }) {
     y.value = animate(to.y);
     width.value = animate(to.width);
     height.value = animate(to.height);
-    radius.value = animate(cfg.morphBorderRadius ? toRadius : 0);
+    radius.value = animate(
+      resolveOverlayRadius(cfg.morphBorderRadius, fromRadius, toRadius).end
+    );
     fade.value = animate(1);
 
     // Restart progress from 0 so a retarget re-runs the full settle window.
diff --git a/src/__tests__/overlayRadius.test.ts b/src/__tests__/overlayRadius.test.ts
new file mode 100644
index 0000000..1cca936
--- /dev/null
+++ b/src/__tests__/overlayRadius.test.ts
@@ -0,0 +1,28 @@
+import { resolveOverlayRadius } from '../overlayRadius';
+
+describe('resolveOverlayRadius', () => {
+  it('morphs from the source radius to the target radius', () => {
+    expect(resolveOverlayRadius(true, 20, 110)).toEqual({
+      start: 20,
+      end: 110,
+    });
+  });
+
+  it('holds the source radius when morphing is disabled', () => {
+    expect(resolveOverlayRadius(false, 55, 12)).toEqual({
+      start: 55,
+      end: 55,
+    });
+  });
+
+  it('keeps a circular source circular for the whole flight', () => {
+    const { start, end } = resolveOverlayRadius(false, 32, 0);
+    expect(start).toBe(32);
+    expect(end).toBe(32);
+  });
+
+  it('leaves square endpoints square', () => {
+    expect(resolveOverlayRadius(false, 0, 0)).toEqual({ start: 0, end: 0 });
+    expect(resolveOverlayRadius(true, 0, 0)).toEqual({ start: 0, end: 0 });
+  });
+});
diff --git a/src/overlayRadius.ts b/src/overlayRadius.ts
new file mode 100644
index 0000000..32361ae
--- /dev/null
+++ b/src/overlayRadius.ts
@@ -0,0 +1,28 @@
+/**
+ * overlayRadius
+ *
+ * Corner radius resolution for the flying overlay. Pure and Reanimated-free
+ * so it can be unit tested without a renderer.
+ */
+
+/** The overlay container's borderRadius at both ends of the flight. */
+export interface OverlayRadiusRange {
+  start: number;
+  end: number;
+}
+
+/**
+ * `morphBorderRadius: false` means "do not animate the radius", not "drop it":
+ * the cloned child's own radius is reset, so the overlay container is the only
+ * thing rounding the corners and must hold the source radius for the flight.
+ */
+export function resolveOverlayRadius(
+  morphBorderRadius: boolean,
+  fromRadius: number,
+  toRadius: number
+): OverlayRadiusRange {
+  return {
+    start: fromRadius,
+    end: morphBorderRadius ? toRadius : fromRadius,
+  };
+}