diff --git a/x-pack/plugin/security/src/test/java/org/elasticsearch/xpack/security/transport/ssl/SslNullCipherTests.java b/x-pack/plugin/security/src/test/java/org/elasticsearch/xpack/security/transport/ssl/SslNullCipherTests.java
index 7427c5a67e9..f57be316328 100644
--- a/x-pack/plugin/security/src/test/java/org/elasticsearch/xpack/security/transport/ssl/SslNullCipherTests.java
+++ b/x-pack/plugin/security/src/test/java/org/elasticsearch/xpack/security/transport/ssl/SslNullCipherTests.java
@@ -7,6 +7,7 @@ package org.elasticsearch.xpack.security.transport.ssl;
 
 import org.elasticsearch.action.DocWriteResponse.Result;
 import org.elasticsearch.action.index.IndexResponse;
+import org.elasticsearch.bootstrap.JavaVersion;
 import org.elasticsearch.client.Client;
 import org.elasticsearch.common.settings.Settings;
 import org.elasticsearch.test.SecurityIntegTestCase;
@@ -22,6 +23,11 @@ public class SslNullCipherTests extends SecurityIntegTestCase {
         assumeFalse("Can't run in a FIPS JVM", inFipsJvm());
     }
 
+    @BeforeClass
+    public static void muteInJDK12() {
+        assumeFalse("https://github.com/elastic/elasticsearch/issues/37403", JavaVersion.current().equals(JavaVersion.parse("12")));
+    }
+
     @Override
     public boolean transportSSLEnabled() {
         return true;