diff --git a/tools/e2e/68-composition.mjs b/tools/e2e/68-composition.mjs
index a238441a..bbb9f7d3 100644
--- a/tools/e2e/68-composition.mjs
+++ b/tools/e2e/68-composition.mjs
@@ -185,23 +185,30 @@ export async function composition(t) {
     c.objects = [{ ...structuredClone(c.objects[0]), id: 'cp68-v', assetId: 'cp68-screen', name: 'Video 68', overrides: {} }];
     c.items = [{ id: 'cp68-v', track: 'cp68-front', start: 0, length: 120, offset: 0 }];
     c.clips = [];`);
-  await play();
   // The video time the composition writes into its item every frame.
   const clock = `__gm.world()?.entities.find((e) => e.objectId === '${id('v')}')?.props.videoTime ?? null`;
-  const wait = JSON.parse(
-    await evaluate(`new Promise((done) => {
-      const loading = [];
+  // Sampled from before the click on Play: play() settles after the start, and a video that loads
+  // quickly is ready by then, with no wait left to see (CI task 669).
+  await evaluate(`{
+    const loading = [];
+    const until = performance.now() + 20000;
+    window.cp68Wait = new Promise((done) => {
       const step = () => {
-        const time = ${clock};
-        const player = __gm.gameVideo('${id('v')}');
+        const playing = __gm.state.mode === 'play';
+        const time = playing ? ${clock} : null;
+        const player = playing ? __gm.gameVideo('${id('v')}') : null;
         if (player?.ready) return done(JSON.stringify({ loading, ready: time }));
         if (player) loading.push(time);
-        if (!__gm.world() || loading.length > 300) return done(JSON.stringify({ loading, ready: null }));
+        if (performance.now() > until) return done(JSON.stringify({ loading, ready: null }));
         requestAnimationFrame(step);
       };
       step();
-    })`),
-  );
+    });
+    // Not the promise as the block's value: evaluate would wait for it, and Play would come too late.
+    null;
+  }`);
+  await play();
+  const wait = JSON.parse(await evaluate('window.cp68Wait'));
   await sleep(500);
   const after = await json(clock);
   check(