diff --git a/tests/scalers/kafka/kafka_test.go b/tests/scalers/kafka/kafka_test.go
index d2d3eac4831..f231a78c4fd 100644
--- a/tests/scalers/kafka/kafka_test.go
+++ b/tests/scalers/kafka/kafka_test.go
@@ -444,8 +444,10 @@ func TestScaler(t *testing.T) {
 	testEarliestPolicy(t, kc, data)
 	testLatestPolicy(t, kc, data)
 	testMultiTopic(t, kc, data)
-	testZeroOnInvalidOffset(t, kc, data)
-	testOneOnInvalidOffset(t, kc, data)
+	testZeroOnInvalidOffsetWithLatestOffsetResetPolicy(t, kc, data)
+	testZeroOnInvalidOffsetWithEarliestOffsetResetPolicy(t, kc, data)
+	testOneOnInvalidOffsetWithLatestOffsetResetPolicy(t, kc, data)
+	testOneOnInvalidOffsetWithEarliestOffsetResetPolicy(t, kc, data)
 	testPersistentLag(t, kc, data)
 	testScalingOnlyPartitionsWithLag(t, kc, data)
 }
@@ -545,8 +547,8 @@ func testMultiTopic(t *testing.T, kc *kubernetes.Clientset, data templateData) {
 		"replica count should be %d after 2 minute", 2)
 }
 
-func testZeroOnInvalidOffset(t *testing.T, kc *kubernetes.Clientset, data templateData) {
-	t.Log("--- testing zeroInvalidOffsetTopic: scale out ---")
+func testZeroOnInvalidOffsetWithLatestOffsetResetPolicy(t *testing.T, kc *kubernetes.Clientset, data templateData) {
+	t.Log("--- testing zeroInvalidOffsetTopicWithLatestOffsetResetPolicy: scale out ---")
 	data.Params = fmt.Sprintf("--topic %s --group %s", zeroInvalidOffsetTopic, invalidOffsetGroup)
 	data.Commit = StringTrue
 	data.TopicName = zeroInvalidOffsetTopic
@@ -556,6 +558,20 @@ func testZeroOnInvalidOffset(t *testing.T, kc *kubernetes.Clientset, data templa
 	defer KubectlDeleteWithTemplate(t, data, "singleDeploymentTemplate", singleDeploymentTemplate)
 	KubectlApplyWithTemplate(t, data, "invalidOffsetWithLatestOffsetResetPolicyScaledObjectTemplate", invalidOffsetWithLatestOffsetResetPolicyScaledObjectTemplate)
 	defer KubectlDeleteWithTemplate(t, data, "invalidOffsetWithLatestOffsetResetPolicyScaledObjectTemplate", invalidOffsetWithLatestOffsetResetPolicyScaledObjectTemplate)
+
+	// Shouldn't scale pods
+	AssertReplicaCountNotChangeDuringTimePeriod(t, kc, deploymentName, testNamespace, 0, 30)
+}
+
+func testZeroOnInvalidOffsetWithEarliestOffsetResetPolicy(t *testing.T, kc *kubernetes.Clientset, data templateData) {
+	t.Log("--- testing zeroInvalidOffsetTopicWithEarliestOffsetResetPolicy: scale out ---")
+	data.Params = fmt.Sprintf("--topic %s --group %s", zeroInvalidOffsetTopic, invalidOffsetGroup)
+	data.Commit = StringTrue
+	data.TopicName = zeroInvalidOffsetTopic
+	data.ResetPolicy = invalidOffsetGroup
+	data.ScaleToZeroOnInvalid = StringTrue
+	KubectlApplyWithTemplate(t, data, "singleDeploymentTemplate", singleDeploymentTemplate)
+	defer KubectlDeleteWithTemplate(t, data, "singleDeploymentTemplate", singleDeploymentTemplate)
 	KubectlApplyWithTemplate(t, data, "invalidOffsetWithEarliestOffsetResetPolicyScaledObjectTemplate", invalidOffsetWithEarliestOffsetResetPolicyScaledObjectTemplate)
 	defer KubectlDeleteWithTemplate(t, data, "invalidOffsetWithEarliestOffsetResetPolicyScaledObjectTemplate", invalidOffsetWithEarliestOffsetResetPolicyScaledObjectTemplate)
 
@@ -563,8 +579,8 @@ func testZeroOnInvalidOffset(t *testing.T, kc *kubernetes.Clientset, data templa
 	AssertReplicaCountNotChangeDuringTimePeriod(t, kc, deploymentName, testNamespace, 0, 30)
 }
 
-func testOneOnInvalidOffset(t *testing.T, kc *kubernetes.Clientset, data templateData) {
-	t.Log("--- testing oneInvalidOffsetTopic: scale out ---")
+func testOneOnInvalidOffsetWithLatestOffsetResetPolicy(t *testing.T, kc *kubernetes.Clientset, data templateData) {
+	t.Log("--- testing oneInvalidOffsetTopicWithLatestOffsetResetPolicy: scale out ---")
 	data.Params = fmt.Sprintf("--topic %s --group %s --from-beginning", oneInvalidOffsetTopic, invalidOffsetGroup)
 	data.Commit = StringTrue
 	data.TopicName = oneInvalidOffsetTopic
@@ -574,6 +590,28 @@ func testOneOnInvalidOffset(t *testing.T, kc *kubernetes.Clientset, data templat
 	defer KubectlDeleteWithTemplate(t, data, "singleDeploymentTemplate", singleDeploymentTemplate)
 	KubectlApplyWithTemplate(t, data, "invalidOffsetWithLatestOffsetResetPolicyScaledObjectTemplate", invalidOffsetWithLatestOffsetResetPolicyScaledObjectTemplate)
 	defer KubectlDeleteWithTemplate(t, data, "invalidOffsetWithLatestOffsetResetPolicyScaledObjectTemplate", invalidOffsetWithLatestOffsetResetPolicyScaledObjectTemplate)
+
+	// Should scale to 1
+	assert.True(t, WaitForDeploymentReplicaReadyCount(t, kc, deploymentName, testNamespace, 1, 60, 2),
+		"replica count should be %d after 2 minute", 1)
+
+	commitPartition(t, oneInvalidOffsetTopic, invalidOffsetGroup)
+	publishMessage(t, oneInvalidOffsetTopic)
+
+	// Should scale to 0
+	assert.True(t, WaitForDeploymentReplicaReadyCount(t, kc, deploymentName, testNamespace, 0, 60, 10),
+		"replica count should be %d after 10 minute", 0)
+}
+
+func testOneOnInvalidOffsetWithEarliestOffsetResetPolicy(t *testing.T, kc *kubernetes.Clientset, data templateData) {
+	t.Log("--- testing oneInvalidOffsetTopicWithEarliestOffsetResetPolicy: scale out ---")
+	data.Params = fmt.Sprintf("--topic %s --group %s --from-beginning", oneInvalidOffsetTopic, invalidOffsetGroup)
+	data.Commit = StringTrue
+	data.TopicName = oneInvalidOffsetTopic
+	data.ResetPolicy = invalidOffsetGroup
+	data.ScaleToZeroOnInvalid = StringFalse
+	KubectlApplyWithTemplate(t, data, "singleDeploymentTemplate", singleDeploymentTemplate)
+	defer KubectlDeleteWithTemplate(t, data, "singleDeploymentTemplate", singleDeploymentTemplate)
 	KubectlApplyWithTemplate(t, data, "invalidOffsetWithEarliestOffsetResetPolicyScaledObjectTemplate", invalidOffsetWithEarliestOffsetResetPolicyScaledObjectTemplate)
 	defer KubectlDeleteWithTemplate(t, data, "invalidOffsetWithEarliestOffsetResetPolicyScaledObjectTemplate", invalidOffsetWithEarliestOffsetResetPolicyScaledObjectTemplate)