diff --git a/tests/integration/kubernetes/k8s-cpu-ns.bats b/tests/integration/kubernetes/k8s-cpu-ns.bats
index a130a8d298..e262b91b49 100644
--- a/tests/integration/kubernetes/k8s-cpu-ns.bats
+++ b/tests/integration/kubernetes/k8s-cpu-ns.bats
@@ -21,11 +21,15 @@ setup() {
 
 	pod_name="constraints-cpu-test"
 	container_name="first-cpu-container"
-	sharessyspath="/sys/fs/cgroup/cpu/cpu.shares"
-	quotasyspath="/sys/fs/cgroup/cpu/cpu.cfs_quota_us"
-	periodsyspath="/sys/fs/cgroup/cpu/cpu.cfs_period_us"
+
+	weightsyspath="/sys/fs/cgroup/cpu.weight"
+	maxsyspath="/sys/fs/cgroup/cpu.max"
+
 	total_cpus=2
-	total_requests=512
+	# https://github.com/containers/crun/blob/main/crun.1.md#cgroup-v2
+	# The weight is calculated by the:
+	# weight = (1 + ((request - 2) * 9999) / 262142)
+	total_requests=20
 	total_cpu_container=1
 
 	get_pod_config_dir
@@ -38,17 +42,13 @@ setup() {
 	exec_num_cpus_cmd=(sh -c "${num_cpus_cmd}")
 	add_exec_to_policy_settings "${policy_settings_dir}" "${exec_num_cpus_cmd[@]}"
 
-	quotasyspath_cmd="cat ${quotasyspath}"
-	exec_quotasyspath_cmd=(sh -c "${quotasyspath_cmd}")
-	add_exec_to_policy_settings "${policy_settings_dir}" "${exec_quotasyspath_cmd[@]}"
+	maxsyspath_cmd="cat ${maxsyspath}"
+	exec_maxsyspath_cmd=(sh -c "${maxsyspath_cmd}")
+	add_exec_to_policy_settings "${policy_settings_dir}" "${exec_maxsyspath_cmd[@]}"
 
-	periodsyspath_cmd="cat ${periodsyspath}"
-	exec_periodsyspath_cmd=(sh -c "${periodsyspath_cmd}")
-	add_exec_to_policy_settings "${policy_settings_dir}" "${exec_periodsyspath_cmd[@]}"
-
-	sharessyspath_cmd="cat ${sharessyspath}"
-	exec_sharessyspath_cmd=(sh -c "${sharessyspath_cmd}")
-	add_exec_to_policy_settings "${policy_settings_dir}" "${exec_sharessyspath_cmd[@]}"
+	weightsyspath_cmd="cat ${weightsyspath}"
+	exec_weightsyspath_cmd=(sh -c "${weightsyspath_cmd}")
+	add_exec_to_policy_settings "${policy_settings_dir}" "${exec_weightsyspath_cmd[@]}"
 
 	add_requests_to_policy_settings "${policy_settings_dir}" "ReadStreamRequest"
 	auto_generate_policy "${policy_settings_dir}" "${yaml_file}"
@@ -77,18 +77,15 @@ setup() {
 
 	# Check the total of requests
 	total_requests_container=$(kubectl exec $pod_name -c $container_name \
-		-- "${exec_sharessyspath_cmd[@]}")
+		-- "${exec_weightsyspath_cmd[@]}")
 	info "total_requests_container = $total_requests_container"
 
 	[ "$total_requests_container" -eq "$total_requests" ]
 
 	# Check the cpus inside the container
 
-	total_cpu_quota=$(kubectl exec $pod_name -c $container_name \
-		-- "${exec_quotasyspath_cmd[@]}")
-
-	total_cpu_period=$(kubectl exec $pod_name -c $container_name \
-		-- "${exec_periodsyspath_cmd[@]}")
+	read total_cpu_quota total_cpu_period <<< $(kubectl exec $pod_name -c $container_name \
+		-- "${exec_maxsyspath_cmd[@]}")
 
 	division_quota_period=$(echo $((total_cpu_quota/total_cpu_period)))