diff --git a/plugins/woocommerce/changelog/47182-fix-not-run-test-on-6.4 b/plugins/woocommerce/changelog/47182-fix-not-run-test-on-6.4
new file mode 100644
index 00000000000..c593f993d6c
--- /dev/null
+++ b/plugins/woocommerce/changelog/47182-fix-not-run-test-on-6.4
@@ -0,0 +1,4 @@
+Significance: patch
+Type: fix
+Comment: CYS: not run font picker E2E tests on WordPress 6.4
+
diff --git a/plugins/woocommerce/tests/e2e-pw/tests/customize-store/assembler/font-picker.spec.js b/plugins/woocommerce/tests/e2e-pw/tests/customize-store/assembler/font-picker.spec.js
index 6f6bb804a9a..76ff37a6fd8 100644
--- a/plugins/woocommerce/tests/e2e-pw/tests/customize-store/assembler/font-picker.spec.js
+++ b/plugins/woocommerce/tests/e2e-pw/tests/customize-store/assembler/font-picker.spec.js
@@ -41,6 +41,11 @@ const slugFontMap = {
 };
 
 test.describe( 'Assembler -> Font Picker', () => {
+	test.skip(
+		process.env.WP_ENV_CORE && process.env.WP_ENV_CORE.includes( '6.4' ),
+		'Skipping, font picker not available in WP 6.4'
+	);
+
 	test.use( { storageState: process.env.ADMINSTATE } );
 
 	test.beforeAll( async ( { baseURL } ) => {