diff --git a/x-pack/test/functional/apps/machine_learning/anomaly_detection/date_nanos_job.ts b/x-pack/test/functional/apps/machine_learning/anomaly_detection/date_nanos_job.ts
index 2a9824f46778d..6af27d558432d 100644
--- a/x-pack/test/functional/apps/machine_learning/anomaly_detection/date_nanos_job.ts
+++ b/x-pack/test/functional/apps/machine_learning/anomaly_detection/date_nanos_job.ts
@@ -165,7 +165,8 @@ export default function({ getService }: FtrProviderContext) {
     },
   ];
 
-  describe('job on data set with date_nanos time field', function() {
+  // test failures, see #59419
+  describe.skip('job on data set with date_nanos time field', function() {
     this.tags(['smoke', 'mlqa']);
     before(async () => {
       await esArchiver.load('ml/event_rate_nanos');
diff --git a/x-pack/test/functional/apps/machine_learning/anomaly_detection/saved_search_job.ts b/x-pack/test/functional/apps/machine_learning/anomaly_detection/saved_search_job.ts
index a13cf3d61128e..66b2f00009b18 100644
--- a/x-pack/test/functional/apps/machine_learning/anomaly_detection/saved_search_job.ts
+++ b/x-pack/test/functional/apps/machine_learning/anomaly_detection/saved_search_job.ts
@@ -271,7 +271,8 @@ export default function({ getService }: FtrProviderContext) {
     },
   ];
 
-  describe('saved search', function() {
+  // test failures, see #59354
+  describe.skip('saved search', function() {
     this.tags(['smoke', 'mlqa']);
     before(async () => {
       await esArchiver.load('ml/farequote');