diff --git a/packages/playground/wordpress/src/index.ts b/packages/playground/wordpress/src/index.ts
index 4f4c218270..f693672484 100644
--- a/packages/playground/wordpress/src/index.ts
+++ b/packages/playground/wordpress/src/index.ts
@@ -217,6 +217,18 @@ export async function setupPlatformLevelMuPlugins(php: UniversalPHP) {
 				if (strpos($message, "fit in a PHP integer") !== false) {
 					return;
 				}
+				/**
+				 * Networking support in Playground registers a http_api_transports filter.
+				 *
+				 * This filter is deprecated, and no longer actively used, but is needed for wp_http_supports().
+				 * @see https://core.trac.wordpress.org/ticket/37708
+				 */
+				if (
+					strpos($message, "http_api_transports") !== false &&
+					strpos($message, "since version 6.4.0 with no alternative available") !== false
+				) {
+					return;
+				}
 				/**
 				 * Playground defines some constants upfront, and some of them may be redefined
 				 * in wp-config.php. For example, SITE_URL or WP_DEBUG. This is expected and