diff --git a/packages/playground/remote/src/lib/offline-mode-cache.spec.ts b/packages/playground/remote/src/lib/offline-mode-cache.spec.ts
new file mode 100644
index 00000000000..1de7b7c55d4
--- /dev/null
+++ b/packages/playground/remote/src/lib/offline-mode-cache.spec.ts
@@ -0,0 +1,47 @@
+describe('offline mode cache', () => {
+	beforeEach(() => {
+		vi.resetModules();
+		vi.stubGlobal('self', {});
+	});
+
+	afterEach(() => {
+		vi.unstubAllGlobals();
+	});
+
+	it.each([
+		['cache first', 'cacheFirstFetch'],
+		['network first', 'networkFirstFetch'],
+	] as const)(
+		'settles failed background writes for the %s strategy',
+		async (_strategy, fetchFunctionName) => {
+			const cacheWriteError = new DOMException(
+				'Cache.put() encountered a network error',
+				'NetworkError'
+			);
+			const cacheWriteCatch = vi.fn((onRejected) =>
+				Promise.resolve(onRejected(cacheWriteError))
+			);
+			const cachePut = vi.fn().mockReturnValue({
+				catch: cacheWriteCatch,
+			});
+			vi.stubGlobal('caches', {
+				open: vi.fn().mockResolvedValue({
+					match: vi.fn().mockResolvedValue(undefined),
+					put: cachePut,
+				}),
+			});
+			const response = new Response('response body');
+			vi.stubGlobal('fetch', vi.fn().mockResolvedValue(response));
+			const offlineModeCache = await import('./offline-mode-cache');
+
+			await expect(
+				offlineModeCache[fetchFunctionName](
+					new Request('https://playground.wordpress.net/asset.js')
+				)
+			).resolves.toBe(response);
+
+			expect(cachePut).toHaveBeenCalledOnce();
+			expect(cacheWriteCatch).toHaveBeenCalledOnce();
+		}
+	);
+});
diff --git a/packages/playground/remote/src/lib/offline-mode-cache.ts b/packages/playground/remote/src/lib/offline-mode-cache.ts
index 069c365f692..9ad1466ffb1 100644
--- a/packages/playground/remote/src/lib/offline-mode-cache.ts
+++ b/packages/playground/remote/src/lib/offline-mode-cache.ts
@@ -48,8 +48,12 @@ export async function cacheFirstFetch(request: Request): Promise<Response> {
 		) {
 			// Intentionally do not await writing to the cache so the response
 			// promise can be returned immediately and observed for progress events.
+			// A failed write only reduces offline availability, so settle it here
+			// instead of surfacing an unhandled rejection after the response returns.
 			// NOTE: This is a race condition for simultaneous requests for the same asset.
-			offlineModeCache.put(requestWithoutRangeHeader, response.clone());
+			void offlineModeCache
+				.put(requestWithoutRangeHeader, response.clone())
+				.catch(() => undefined);
 		}
 	}
 
@@ -91,8 +95,12 @@ export async function networkFirstFetch(request: Request): Promise<Response> {
 	if (response.ok) {
 		// Intentionally do not await writing to the cache so the response
 		// promise can be returned immediately and observed for progress events.
+		// A failed write only reduces offline availability, so settle it here
+		// instead of surfacing an unhandled rejection after the response returns.
 		// NOTE: This is a race condition for simultaneous requests for the same asset.
-		offlineModeCache.put(request, response.clone());
+		void offlineModeCache
+			.put(request, response.clone())
+			.catch(() => undefined);
 		return response;
 	}