diff --git a/muted-tests.yml b/muted-tests.yml
index 910bc8ee8a3d5..50696ba778a98 100644
--- a/muted-tests.yml
+++ b/muted-tests.yml
@@ -462,6 +462,4 @@ tests:
 - class: org.elasticsearch.analysis.common.CommonAnalysisClientYamlTestSuiteIT
   method: test {yaml=analysis-common/40_token_filters/stemmer_override file access}
   issue: https://github.com/elastic/elasticsearch/issues/121625
-- class: org.elasticsearch.xpack.test.rest.XPackRestIT
-  method: test {p0=snapshot/10_basic/Failed to snapshot indices with synthetic source}
-  issue: https://github.com/elastic/elasticsearch/issues/120332
+
diff --git a/x-pack/plugin/src/yamlRestTest/resources/rest-api-spec/test/snapshot/10_basic.yml b/x-pack/plugin/src/yamlRestTest/resources/rest-api-spec/test/snapshot/10_basic.yml
index 9ba0b5e4088af..5e167e5a4dded 100644
--- a/x-pack/plugin/src/yamlRestTest/resources/rest-api-spec/test/snapshot/10_basic.yml
+++ b/x-pack/plugin/src/yamlRestTest/resources/rest-api-spec/test/snapshot/10_basic.yml
@@ -115,7 +115,10 @@ setup:
         snapshot: test_snapshot_2
         wait_for_completion: true
         body: |
-          { "indices": "test_synthetic" }
+          { 
+            "indices": "test_synthetic",
+            "include_global_state": false
+          }
 
   - match: { snapshot.snapshot: test_snapshot_2 }
   - match: { snapshot.state : PARTIAL }
@@ -132,7 +135,10 @@ setup:
         snapshot: test_snapshot_3
         wait_for_completion: true
         body: |
-          { "indices": "test_*" }
+          { 
+            "indices": "test_*",
+            "include_global_state": false
+          }
 
   - match: { snapshot.snapshot: test_snapshot_3 }
   - match: { snapshot.state : PARTIAL }