diff --git a/src/core/server/integration_tests/saved_objects/migrations/group3/incompatible_cluster_routing_allocation.test.ts b/src/core/server/integration_tests/saved_objects/migrations/group3/incompatible_cluster_routing_allocation.test.ts
index 8213c880c0fa4..e8a523b5de50e 100644
--- a/src/core/server/integration_tests/saved_objects/migrations/group3/incompatible_cluster_routing_allocation.test.ts
+++ b/src/core/server/integration_tests/saved_objects/migrations/group3/incompatible_cluster_routing_allocation.test.ts
@@ -92,7 +92,8 @@ async function updateRoutingAllocations(
   });
 }
 
-describe('incompatible_cluster_routing_allocation', () => {
+// Failing ES promotion: https://github.com/elastic/kibana/issues/158318
+describe.skip('incompatible_cluster_routing_allocation', () => {
   let client: ElasticsearchClient;
   let root: Root;
 
diff --git a/src/core/server/integration_tests/saved_objects/migrations/group3/multiple_es_nodes.test.ts b/src/core/server/integration_tests/saved_objects/migrations/group3/multiple_es_nodes.test.ts
index 6898962077b9c..5be7b4671ef72 100644
--- a/src/core/server/integration_tests/saved_objects/migrations/group3/multiple_es_nodes.test.ts
+++ b/src/core/server/integration_tests/saved_objects/migrations/group3/multiple_es_nodes.test.ts
@@ -96,7 +96,8 @@ function createRoot({ logFileName, hosts }: RootConfig) {
   });
 }
 
-describe('migration v2', () => {
+// Failing ES promotion: https://github.com/elastic/kibana/issues/167676
+describe.skip('migration v2', () => {
   let esServer: TestElasticsearchUtils;
   let root: Root;
   const migratedIndexAlias = `.kibana_${pkg.version}`;
diff --git a/src/core/server/integration_tests/saved_objects/migrations/group3/read_batch_size.test.ts b/src/core/server/integration_tests/saved_objects/migrations/group3/read_batch_size.test.ts
index 9f970ed234d71..6ebc7ee5a66f6 100644
--- a/src/core/server/integration_tests/saved_objects/migrations/group3/read_batch_size.test.ts
+++ b/src/core/server/integration_tests/saved_objects/migrations/group3/read_batch_size.test.ts
@@ -19,7 +19,9 @@ import { getFips } from 'crypto';
 
 const logFilePath = join(__dirname, 'read_batch_size.log');
 
-describe('migration v2 - read batch size', () => {
+// Failing ES promotion: https://github.com/elastic/kibana/issues/163254
+// Failing ES promotion: https://github.com/elastic/kibana/issues/163255
+describe.skip('migration v2 - read batch size', () => {
   let esServer: TestElasticsearchUtils;
   let root: Root;
   let logs: string;