diff --git a/.vib/zookeeper/ginkgo/zookeeper_test.go b/.vib/zookeeper/ginkgo/zookeeper_test.go
index 427811b99f..3e0369868f 100644
--- a/.vib/zookeeper/ginkgo/zookeeper_test.go
+++ b/.vib/zookeeper/ginkgo/zookeeper_test.go
@@ -10,6 +10,7 @@ import (
 	. "github.com/onsi/gomega"
 	appsv1 "k8s.io/api/apps/v1"
 	batchv1 "k8s.io/api/batch/v1"
+	v1 "k8s.io/api/core/v1"
 	metav1 "k8s.io/apimachinery/pkg/apis/meta/v1"
 	"k8s.io/client-go/kubernetes"
 )
@@ -34,6 +35,7 @@ var _ = Describe("Zookeeper", Ordered, func() {
 		It("should have access to the created key", func() {
 
 			getAvailableReplicas := func(ss *appsv1.StatefulSet) int32 { return ss.Status.AvailableReplicas }
+			getRestartedAtAnnotation := func(pod *v1.Pod) string { return pod.Annotations["kubectl.kubernetes.io/restartedAt"] }
 			getSucceededJobs := func(j *batchv1.Job) int32 { return j.Status.Succeeded }
 			getOpts := metav1.GetOptions{}
 
@@ -72,17 +74,15 @@ var _ = Describe("Zookeeper", Ordered, func() {
 				return c.BatchV1().Jobs(namespace).Get(ctx, createKeyJobName, getOpts)
 			}, timeout, PollingInterval).Should(WithTransform(getSucceededJobs, Equal(int32(1))))
 
-			By("scaling down to 0 replicas")
-			ss, err = utils.StsScale(ctx, c, ss, 0)
+			By("rollout restart the statefulset")
+			_, err = utils.StsRolloutRestart(ctx, c, ss)
 			Expect(err).NotTo(HaveOccurred())
 
-			Eventually(func() (*appsv1.StatefulSet, error) {
-				return c.AppsV1().StatefulSets(namespace).Get(ctx, stsName, getOpts)
-			}, timeout, PollingInterval).Should(WithTransform(getAvailableReplicas, BeZero()))
-
-			By("scaling up to the original replicas")
-			ss, err = utils.StsScale(ctx, c, ss, origReplicas)
-			Expect(err).NotTo(HaveOccurred())
+			for i := int(origReplicas) - 1; i >= 0; i-- {
+				Eventually(func() (*v1.Pod, error) {
+					return c.CoreV1().Pods(namespace).Get(ctx, fmt.Sprintf("%s-%d", stsName, i), getOpts)
+				}, timeout, PollingInterval).Should(WithTransform(getRestartedAtAnnotation, Not(BeEmpty())))
+			}
 
 			Eventually(func() (*appsv1.StatefulSet, error) {
 				return c.AppsV1().StatefulSets(namespace).Get(ctx, stsName, getOpts)
diff --git a/bitnami/zookeeper/CHANGELOG.md b/bitnami/zookeeper/CHANGELOG.md
index c32e6766f2..e6649a99cb 100644
--- a/bitnami/zookeeper/CHANGELOG.md
+++ b/bitnami/zookeeper/CHANGELOG.md
@@ -1,8 +1,12 @@
 # Changelog
 
-## 13.4.12 (2024-09-07)
+## 13.4.13 (2024-09-17)
 
-* [bitnami/zookeeper] fix: add apiVersion and kind to volumeClaimTemplates ([#29289](https://github.com/bitnami/charts/pull/29289))
+* [bitnami/zookeeper] test: :white_check_mark: Improve reliability of ginkgo tests ([#29475](https://github.com/bitnami/charts/pull/29475))
+
+## <small>13.4.12 (2024-09-09)</small>
+
+* [bitnami/zookeeper] fix: add apiVersion and kind to volumeClaimTemplates (#29289) ([f393472](https://github.com/bitnami/charts/commit/f393472ab8514b93c8e0f0de9f6b022d43d16142)), closes [#29289](https://github.com/bitnami/charts/issues/29289)
 
 ## <small>13.4.11 (2024-08-30)</small>
 
diff --git a/bitnami/zookeeper/Chart.yaml b/bitnami/zookeeper/Chart.yaml
index 27586e4a9d..10fb5ae5db 100644
--- a/bitnami/zookeeper/Chart.yaml
+++ b/bitnami/zookeeper/Chart.yaml
@@ -28,4 +28,4 @@ maintainers:
 name: zookeeper
 sources:
 - https://github.com/bitnami/charts/tree/main/bitnami/zookeeper
-version: 13.4.12
+version: 13.4.13