diff --git a/tests/integration/helpers.bash b/tests/integration/helpers.bash
index e095953a1f8..b13cc5e6fe8 100644
--- a/tests/integration/helpers.bash
+++ b/tests/integration/helpers.bash
@@ -133,22 +133,37 @@ function init_cgroup_paths() {
 
 # Randomize cgroup path(s), and update cgroupsPath in config.json.
 # This function sets a few cgroup-related variables.
+#
+# Optional parameter $1 is a pod/parent name. If set, a parent/pod cgroup is
+# created, and variables $REL_PARENT_PATH and $SD_PARENT_NAME can be used to
+# operate it.
 function set_cgroups_path() {
 	init_cgroup_paths
+	local pod dash_pod slash_pod pod_slice
+	if [ "$#" -ne 0 -a "$1" != "" ]; then
+		# Set up a parent/pod cgroup.
+		pod="$1"
+		dash_pod="-$pod"
+		slash_pod="/$pod"
+		SD_PARENT_NAME="machine-${pod}.slice"
+		pod_slice="/$SD_PARENT_NAME"
+	fi
 
 	local rnd="$RANDOM"
 	if [ -n "${RUNC_USE_SYSTEMD}" ]; then
 		SD_UNIT_NAME="runc-cgroups-integration-test-${rnd}.scope"
 		if [ "$(id -u)" = "0" ]; then
-			REL_CGROUPS_PATH="/machine.slice/$SD_UNIT_NAME"
-			OCI_CGROUPS_PATH="machine.slice:runc-cgroups:integration-test-${rnd}"
+			REL_PARENT_PATH="/machine.slice${pod_slice}"
+			OCI_CGROUPS_PATH="machine${dash_pod}.slice:runc-cgroups:integration-test-${rnd}"
 		else
-			REL_CGROUPS_PATH="/user.slice/user-$(id -u).slice/user@$(id -u).service/machine.slice/$SD_UNIT_NAME"
+			REL_PARENT_PATH="/user.slice/user-$(id -u).slice/user@$(id -u).service/machine.slice${pod_slice}"
 			# OCI path doesn't contain "/user.slice/user-$(id -u).slice/user@$(id -u).service/" prefix
-			OCI_CGROUPS_PATH="machine.slice:runc-cgroups:integration-test-${rnd}"
+			OCI_CGROUPS_PATH="machine${dash_pod}.slice:runc-cgroups:integration-test-${rnd}"
 		fi
+		REL_CGROUPS_PATH="$REL_PARENT_PATH/$SD_UNIT_NAME"
 	else
-		REL_CGROUPS_PATH="/runc-cgroups-integration-test/test-cgroup-${rnd}"
+		REL_PARENT_PATH="/runc-cgroups-integration-test${slash_pod}"
+		REL_CGROUPS_PATH="$REL_PARENT_PATH/test-cgroup-${rnd}"
 		OCI_CGROUPS_PATH=$REL_CGROUPS_PATH
 	fi
 
diff --git a/tests/integration/update.bats b/tests/integration/update.bats
index d51e93d0d47..047f4cc8c0a 100644
--- a/tests/integration/update.bats
+++ b/tests/integration/update.bats
@@ -383,6 +383,44 @@ EOF
 	check_cpu_quota 30000 100000 "300ms"
 }
 
+@test "update cpu period in a pod cgroup with pod limit set" {
+	requires cgroups_v1 root # FIXME for rootless
+	[[ "$ROOTLESS" -ne 0 ]] && requires rootless_cgroup
+
+	set_cgroups_path "pod_${RANDOM}"
+
+	# Create parent/pod cgroup with CPU quota limit of 50%.
+	if [ -n "${RUNC_USE_SYSTEMD}" ]; then
+		local user
+		[ "$(id -u)" != "0" ] && user="--user"
+		systemctl set-property $user "$SD_PARENT_NAME" CPUQuota="50%"
+	else
+		mkdir "/sys/fs/cgroup/cpu/$REL_PARENT_PATH"
+		echo 50000 >"/sys/fs/cgroup/cpu/$REL_PARENT_PATH/cpu.cfs_quota_us"
+	fi
+	# Sanity checks.
+	local cur
+	cur=$(cat "/sys/fs/cgroup/cpu$REL_PARENT_PATH/cpu.cfs_period_us")
+	[ "$cur" -eq 100000 ]
+	cur=$(cat "/sys/fs/cgroup/cpu$REL_PARENT_PATH/cpu.cfs_quota_us")
+	[ "$cur" -eq 50000 ]
+
+	runc run -d --console-socket "$CONSOLE_SOCKET" test_update
+	[ "$status" -eq 0 ]
+	# Get the current period.
+	cur=$(get_cgroup_value cpu.cfs_period_us)
+
+	# Sanity check: as the parent cgroup sets the limit to 50%,
+	# setting a higher limit (e.g. 60%) is expected to fail.
+	runc update --cpu-quota $((cur * 6 / 10)) test_update
+	[ "$status" -eq 1 ]
+
+	# Finally, the test itself: set 30% limit but with lower period.
+	runc update --cpu-period 10000 --cpu-quota 3000 test_update
+	[ "$status" -eq 0 ]
+	check_cpu_quota 3000 10000 "300ms"
+}
+
 @test "update cgroup v2 resources via unified map" {
 	[[ "$ROOTLESS" -ne 0 ]] && requires rootless_cgroup
 	requires cgroups_v2