diff --git a/charts/kube-prometheus-stack/Chart.yaml b/charts/kube-prometheus-stack/Chart.yaml
index 56949182aacf..90024fc4502e 100644
--- a/charts/kube-prometheus-stack/Chart.yaml
+++ b/charts/kube-prometheus-stack/Chart.yaml
@@ -23,7 +23,7 @@ name: kube-prometheus-stack
 sources:
   - https://github.com/prometheus-community/helm-charts
   - https://github.com/prometheus-operator/kube-prometheus
-version: 66.3.1
+version: 66.4.0
 appVersion: v0.78.2
 kubeVersion: ">=1.19.0-0"
 home: https://github.com/prometheus-operator/kube-prometheus
diff --git a/charts/kube-prometheus-stack/templates/exporters/kubelet/servicemonitor.yaml b/charts/kube-prometheus-stack/templates/exporters/kubelet/servicemonitor.yaml
index d0443c3343c0..842ebf6d15ba 100644
--- a/charts/kube-prometheus-stack/templates/exporters/kubelet/servicemonitor.yaml
+++ b/charts/kube-prometheus-stack/templates/exporters/kubelet/servicemonitor.yaml
@@ -62,6 +62,7 @@ spec:
     {{- end }}
     honorLabels: {{ .Values.kubelet.serviceMonitor.honorLabels }}
     honorTimestamps: {{ .Values.kubelet.serviceMonitor.honorTimestamps }}
+    trackTimestampsStaleness: {{ .Values.kubelet.serviceMonitor.trackTimestampsStaleness }}
     tlsConfig:
       caFile: /var/run/secrets/kubernetes.io/serviceaccount/ca.crt
       insecureSkipVerify: true
@@ -118,6 +119,7 @@ spec:
     {{- end }}
     honorLabels: {{ .Values.kubelet.serviceMonitor.honorLabels }}
     honorTimestamps: {{ .Values.kubelet.serviceMonitor.honorTimestamps }}
+    trackTimestampsStaleness: {{ .Values.kubelet.serviceMonitor.trackTimestampsStaleness }}
     tlsConfig:
       caFile: /var/run/secrets/kubernetes.io/serviceaccount/ca.crt
       insecureSkipVerify: true
@@ -144,6 +146,7 @@ spec:
     {{- end }}
     honorLabels: {{ .Values.kubelet.serviceMonitor.honorLabels }}
     honorTimestamps: {{ .Values.kubelet.serviceMonitor.honorTimestamps }}
+    trackTimestampsStaleness: {{ .Values.kubelet.serviceMonitor.trackTimestampsStaleness }}
 {{- if .Values.kubelet.serviceMonitor.metricRelabelings }}
     metricRelabelings:
 {{ tpl (toYaml .Values.kubelet.serviceMonitor.metricRelabelings | indent 4) . }}
@@ -166,6 +169,7 @@ spec:
     {{- end }}
     honorLabels: {{ .Values.kubelet.serviceMonitor.honorLabels }}
     honorTimestamps: {{ .Values.kubelet.serviceMonitor.honorTimestamps }}
+    trackTimestampsStaleness: {{ .Values.kubelet.serviceMonitor.trackTimestampsStaleness }}
 {{- if .Values.kubelet.serviceMonitor.cAdvisorMetricRelabelings }}
     metricRelabelings:
 {{ tpl (toYaml .Values.kubelet.serviceMonitor.cAdvisorMetricRelabelings | indent 4) . }}
@@ -211,6 +215,7 @@ spec:
     {{- end }}
     honorLabels: {{ .Values.kubelet.serviceMonitor.honorLabels }}
     honorTimestamps: {{ .Values.kubelet.serviceMonitor.honorTimestamps }}
+    trackTimestampsStaleness: {{ .Values.kubelet.serviceMonitor.trackTimestampsStaleness }}
 {{- if .Values.kubelet.serviceMonitor.resourceMetricRelabelings }}
     metricRelabelings:
 {{ tpl (toYaml .Values.kubelet.serviceMonitor.resourceMetricRelabelings | indent 4) . }}
diff --git a/charts/kube-prometheus-stack/values.yaml b/charts/kube-prometheus-stack/values.yaml
index fc06729e6673..a146563b1596 100644
--- a/charts/kube-prometheus-stack/values.yaml
+++ b/charts/kube-prometheus-stack/values.yaml
@@ -1322,6 +1322,11 @@ kubelet:
     ##
     honorTimestamps: true
 
+    ## If true, defines whether Prometheus tracks staleness of the metrics that have an explicit timestamp present in scraped data. Has no effect if `honorTimestamps` is false.
+    ## We recommend enabling this if you want the best possible accuracy for container_ metrics scraped from cadvisor.
+    ##
+    trackTimestampsStaleness: true
+
     ## SampleLimit defines per-scrape limit on number of scraped samples that will be accepted.
     ##
     sampleLimit: 0