diff --git a/x-pack/test/alerting_api_integration/security_and_spaces/tests/alerting/alerts.ts b/x-pack/test/alerting_api_integration/security_and_spaces/tests/alerting/alerts.ts
index 70c885bb0a692..6766705f688a6 100644
--- a/x-pack/test/alerting_api_integration/security_and_spaces/tests/alerting/alerts.ts
+++ b/x-pack/test/alerting_api_integration/security_and_spaces/tests/alerting/alerts.ts
@@ -26,7 +26,9 @@ export default function alertTests({ getService }: FtrProviderContext) {
   const esTestIndexTool = new ESTestIndexTool(es, retry);
   const taskManagerUtils = new TaskManagerUtils(es, retry);
 
-  describe('alerts', () => {
+  // FLAKY: https://github.com/elastic/kibana/issues/58643
+  // FLAKY: https://github.com/elastic/kibana/issues/58991
+  describe.skip('alerts', () => {
     const authorizationIndex = '.kibana-test-authorization';
     const objectRemover = new ObjectRemover(supertest);