diff --git a/x-pack/qa/full-cluster-restart/with-system-key/build.gradle b/x-pack/qa/full-cluster-restart/with-system-key/build.gradle
index e69de29bb2d1d..928280b6584bd 100644
--- a/x-pack/qa/full-cluster-restart/with-system-key/build.gradle
+++ b/x-pack/qa/full-cluster-restart/with-system-key/build.gradle
@@ -0,0 +1,8 @@
+import org.elasticsearch.gradle.test.RestIntegTestTask
+
+// Skip test on FIPS FIXME https://github.com/elastic/elasticsearch/issues/32737
+if (project.inFipsJvm) {
+    tasks.withType(RestIntegTestTask) {
+        enabled = false
+    }
+}