diff --git a/muted-tests.yml b/muted-tests.yml
index 8a31484090b94..59d49e4eaf66c 100644
--- a/muted-tests.yml
+++ b/muted-tests.yml
@@ -204,9 +204,6 @@ tests:
 - class: org.elasticsearch.smoketest.SmokeTestMonitoringWithSecurityIT
   method: testHTTPExporterWithSSL
   issue: https://github.com/elastic/elasticsearch/issues/122220
-- class: org.elasticsearch.blocks.SimpleBlocksIT
-  method: testConcurrentAddBlock
-  issue: https://github.com/elastic/elasticsearch/issues/122324
 - class: org.elasticsearch.xpack.ilm.TimeSeriesLifecycleActionsIT
   method: testHistoryIsWrittenWithFailure
   issue: https://github.com/elastic/elasticsearch/issues/123203
diff --git a/server/src/internalClusterTest/java/org/elasticsearch/blocks/SimpleBlocksIT.java b/server/src/internalClusterTest/java/org/elasticsearch/blocks/SimpleBlocksIT.java
index 0fb4959ee38d6..f0ae5b5032af2 100644
--- a/server/src/internalClusterTest/java/org/elasticsearch/blocks/SimpleBlocksIT.java
+++ b/server/src/internalClusterTest/java/org/elasticsearch/blocks/SimpleBlocksIT.java
@@ -412,8 +412,11 @@ public void testConcurrentAddBlock() throws InterruptedException, ExecutionExcep
         try {
             startInParallel(threadCount, i -> {
                 try {
-                    indicesAdmin().prepareAddBlock(block, indexName).get();
-                    assertIndexHasBlock(block, indexName);
+                    AddIndexBlockResponse response = indicesAdmin().prepareAddBlock(block, indexName).get();
+                    // Check that the block has been added only for the request that won the race
+                    if (response.isAcknowledged() && response.getIndices().isEmpty() == false) {
+                        assertIndexHasBlock(block, indexName);
+                    }
                 } catch (final ClusterBlockException e) {
                     assertThat(e.blocks(), hasSize(1));
                     assertTrue(e.blocks().stream().allMatch(b -> b.id() == block.getBlock().id()));