diff --git a/src/core/server/saved_objects/migrations/integration_tests/batch_size_bytes.test.ts b/src/core/server/saved_objects/migrations/integration_tests/batch_size_bytes.test.ts
index e444a3b1a8bdb2..046dcb366770de 100644
--- a/src/core/server/saved_objects/migrations/integration_tests/batch_size_bytes.test.ts
+++ b/src/core/server/saved_objects/migrations/integration_tests/batch_size_bytes.test.ts
@@ -109,7 +109,7 @@ describe('migration v2', () => {
     await root.preboot();
     await root.setup();
     await expect(root.start()).rejects.toMatchInlineSnapshot(
-      `[Error: Unable to complete saved object migrations for the [.kibana] index: The document with _id "canvas-workpad-template:workpad-template-061d7868-2b4e-4dc8-8bf7-3772b52926e5" is 1715275 bytes which exceeds the configured maximum batch size of 1015275 bytes. To proceed, please increase the 'migrations.maxBatchSizeBytes' Kibana configuration option and ensure that the Elasticsearch 'http.max_content_length' configuration option is set to an equal or larger value.]`
+      `[Error: Unable to complete saved object migrations for the [.kibana] index: The document with _id "canvas-workpad-template:workpad-template-061d7868-2b4e-4dc8-8bf7-3772b52926e5" is 1715274 bytes which exceeds the configured maximum batch size of 1015275 bytes. To proceed, please increase the 'migrations.maxBatchSizeBytes' Kibana configuration option and ensure that the Elasticsearch 'http.max_content_length' configuration option is set to an equal or larger value.]`
     );
 
     await retryAsync(
@@ -159,7 +159,7 @@ function createRoot(options: { maxBatchSizeBytes?: number }) {
       },
     },
     {
-      oss: true,
+      oss: false,
     }
   );
 }
diff --git a/src/core/server/saved_objects/migrations/integration_tests/collects_corrupt_docs.test.ts b/src/core/server/saved_objects/migrations/integration_tests/collects_corrupt_docs.test.ts
index e330653089c6ea..e5f0206b091fde 100644
--- a/src/core/server/saved_objects/migrations/integration_tests/collects_corrupt_docs.test.ts
+++ b/src/core/server/saved_objects/migrations/integration_tests/collects_corrupt_docs.test.ts
@@ -170,7 +170,7 @@ function createRoot() {
       },
     },
     {
-      oss: true,
+      oss: false,
     }
   );
 }