diff --git a/pkg/kubelet/cm/cpumanager/cpu_assignment_test.go b/pkg/kubelet/cm/cpumanager/cpu_assignment_test.go
index 2b2b04e7b29..7a25e3887c1 100644
--- a/pkg/kubelet/cm/cpumanager/cpu_assignment_test.go
+++ b/pkg/kubelet/cm/cpumanager/cpu_assignment_test.go
@@ -175,6 +175,12 @@ func TestCPUAccumulatorFreeCPUs(t *testing.T) {
 			cpuset.NewCPUSet(1, 2, 3, 4, 5, 7, 8, 9, 10, 11),
 			[]int{2, 8, 4, 10, 1, 7, 3, 9, 5, 11},
 		},
+		{
+			"triple socket HT, 12 cpus free",
+			topoTripleSocketHT,
+			cpuset.NewCPUSet(0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 12, 13),
+			[]int{12, 13, 0, 1, 2, 3, 6, 7, 8, 9, 10, 11},
+		},
 	}
 
 	for _, tc := range testCases {
diff --git a/pkg/kubelet/cm/cpumanager/policy_test.go b/pkg/kubelet/cm/cpumanager/policy_test.go
index 02e3709c01d..7ce051b2b8f 100644
--- a/pkg/kubelet/cm/cpumanager/policy_test.go
+++ b/pkg/kubelet/cm/cpumanager/policy_test.go
@@ -73,6 +73,33 @@ var (
 		},
 	}
 
+	// fake topology for testing purposes only
+	topoTripleSocketHT = &topology.CPUTopology{
+		NumCPUs:    18,
+		NumSockets: 3,
+		NumCores:   9,
+		CPUDetails: map[int]topology.CPUInfo{
+			0:  {CoreID: 0, SocketID: 1, NUMANodeID: 1},
+			1:  {CoreID: 0, SocketID: 1, NUMANodeID: 1},
+			2:  {CoreID: 1, SocketID: 1, NUMANodeID: 1},
+			3:  {CoreID: 1, SocketID: 1, NUMANodeID: 1},
+			4:  {CoreID: 2, SocketID: 1, NUMANodeID: 1},
+			5:  {CoreID: 2, SocketID: 1, NUMANodeID: 1},
+			6:  {CoreID: 3, SocketID: 0, NUMANodeID: 0},
+			7:  {CoreID: 3, SocketID: 0, NUMANodeID: 0},
+			8:  {CoreID: 4, SocketID: 0, NUMANodeID: 0},
+			9:  {CoreID: 4, SocketID: 0, NUMANodeID: 0},
+			10: {CoreID: 5, SocketID: 0, NUMANodeID: 0},
+			11: {CoreID: 5, SocketID: 0, NUMANodeID: 0},
+			12: {CoreID: 6, SocketID: 2, NUMANodeID: 2},
+			13: {CoreID: 6, SocketID: 2, NUMANodeID: 2},
+			14: {CoreID: 7, SocketID: 2, NUMANodeID: 2},
+			15: {CoreID: 7, SocketID: 2, NUMANodeID: 2},
+			16: {CoreID: 8, SocketID: 2, NUMANodeID: 2},
+			17: {CoreID: 8, SocketID: 2, NUMANodeID: 2},
+		},
+	}
+
 	/*
 		Topology from https://www.open-mpi.org/projects/hwloc/lstopo/images/KNL.SNC4.H50.v1.11.png.
 		Socket0: