diff --git a/.changeset/quiet-links-cross.md b/.changeset/quiet-links-cross.md
new file mode 100644
index 000000000000..cdb171185ca1
--- /dev/null
+++ b/.changeset/quiet-links-cross.md
@@ -0,0 +1,5 @@
+---
+'@sveltejs/kit': patch
+---
+
+fix: add `crossorigin` to SSR stylesheet links and `Link` preload headers so browsers don't block CSS from a cross-origin `paths.assets` after client-side navigation. The asset server must now send `Access-Control-Allow-Origin` for CSS as well as JavaScript. Pages with `csr = false` could load CSS without it before.
diff --git a/packages/kit/src/exports/vite/public.d.ts b/packages/kit/src/exports/vite/public.d.ts
index 33e2bb2a18f8..1428b3200ce1 100644
--- a/packages/kit/src/exports/vite/public.d.ts
+++ b/packages/kit/src/exports/vite/public.d.ts
@@ -308,6 +308,8 @@ export interface Config extends VitePluginSvelteOptions {
 	paths?: {
 		/**
 		 * An absolute path that your app's files are served from. This is useful if your files are served from a storage bucket of some kind.
+		 *
+		 * The browser loads your app's JavaScript, CSS and fonts from this origin with CORS, so the server must respond with an `Access-Control-Allow-Origin` header that allows your app's origin.
 		 * @default ""
 		 */
 		assets?: '' | `http://${string}` | `https://${string}`;
diff --git a/packages/kit/src/runtime/server/page/render.js b/packages/kit/src/runtime/server/page/render.js
index 0a8042eb03fa..63b691b7552c 100644
--- a/packages/kit/src/runtime/server/page/render.js
+++ b/packages/kit/src/runtime/server/page/render.js
@@ -312,7 +312,8 @@ export async function render_response({
 	for (const dep of stylesheets) {
 		const path = prefixed(dep);
 
-		const attributes = ['rel="stylesheet"'];
+		// match the CORS mode of the stylesheets that Vite's preload helper adds on client-side navigation
+		const attributes = ['rel="stylesheet"', 'crossorigin'];
 
 		if (inline_styles.has(dep)) {
 			// don't load stylesheets that are already inlined
@@ -320,7 +321,7 @@ export async function render_response({
 			attributes.push('disabled', 'media="(max-width: 0)"');
 		} else {
 			if (__SVELTEKIT_LINK_HEADER_PRELOAD__ && resolve_opts.preload({ type: 'css', path })) {
-				link_headers.add(`<${encodeURI(path)}>; rel="preload"; as="style"; nopush`);
+				link_headers.add(`<${encodeURI(path)}>; rel="preload"; as="style"; crossorigin; nopush`);
 			}
 		}
 
diff --git a/packages/kit/test/apps/options-2/test/test.js b/packages/kit/test/apps/options-2/test/test.js
index b39253268b25..bf2a5e2fd2ca 100644
--- a/packages/kit/test/apps/options-2/test/test.js
+++ b/packages/kit/test/apps/options-2/test/test.js
@@ -195,6 +195,18 @@ test.describe('Link header preload', () => {
 		expect(header).toContain('as="font"');
 	});
 
+	test('injects Link headers for stylesheets with crossorigin', async ({ request }) => {
+		const response = await request.get('/basepath/asset-preload');
+
+		const header = response.headers()['link'] ?? '';
+		const stylesheets = header.split(', ').filter((entry) => entry.includes('as="style"'));
+
+		expect(stylesheets.length).toBeGreaterThan(0);
+		for (const entry of stylesheets) {
+			expect(entry).toContain('; crossorigin;');
+		}
+	});
+
 	test('does not inject Link headers on prerendered pages', async ({ request }) => {
 		const response = await request.get('/basepath/asset-preload/prerendered');
 
diff --git a/packages/kit/test/apps/options/test/paths.test.js b/packages/kit/test/apps/options/test/paths.test.js
index 295b2b30b953..34558ab89d9b 100644
--- a/packages/kit/test/apps/options/test/paths.test.js
+++ b/packages/kit/test/apps/options/test/paths.test.js
@@ -151,6 +151,22 @@ test.describe('assets path', () => {
 		expect(response.status()).toBe(200);
 	});
 
+	test('server-rendered stylesheet links have the crossorigin attribute', async ({
+		request,
+		javaScriptEnabled
+	}) => {
+		test.skip(!!process.env.DEV || javaScriptEnabled, 'only applicable to the build output');
+
+		const response = await request.get('/path-base/base/');
+		const html = await response.text();
+
+		const links = html.match(/<link [^>]*rel="stylesheet"[^>]*>/g) ?? [];
+		expect(links.length).toBeGreaterThan(0);
+		for (const link of links) {
+			expect(link).toMatch(/\scrossorigin[\s>]/);
+		}
+	});
+
 	test('client avoids generating relative URLs if paths.assets or paths.relative are truthy', async () => {
 		test.skip(!!process.env.DEV, 'only applicable to the build output');
 		const nodes = readdirSync('.custom-out-dir/output/client/_wheee/nested/immutable/nodes');
diff --git a/packages/kit/types/index.d.ts b/packages/kit/types/index.d.ts
index 553c98623e96..d54b6ccca586 100644
--- a/packages/kit/types/index.d.ts
+++ b/packages/kit/types/index.d.ts
@@ -1894,6 +1894,8 @@ declare module '@sveltejs/kit/vite' {
 		paths?: {
 			/**
 			 * An absolute path that your app's files are served from. This is useful if your files are served from a storage bucket of some kind.
+			 *
+			 * The browser loads your app's JavaScript, CSS and fonts from this origin with CORS, so the server must respond with an `Access-Control-Allow-Origin` header that allows your app's origin.
 			 * @default ""
 			 */
 			assets?: '' | `http://${string}` | `https://${string}`;