diff --git a/sdk/python/kubeflow/training/api/training_client_test.py b/sdk/python/kubeflow/training/api/training_client_test.py
index 90ae04637f..2a8eb05603 100644
--- a/sdk/python/kubeflow/training/api/training_client_test.py
+++ b/sdk/python/kubeflow/training/api/training_client_test.py
@@ -17,26 +17,51 @@
 from kubernetes.client import V1ResourceRequirements
 import pytest
 
-LIST_RESPONSE = [{"metadata": {"name": "Dummy V1PodList"}}]
 TEST_NAME = "test"
+TIMEOUT = "timeout"
+RUNTIME = "runtime"
+MOCK_POD_OBJ = "mock_pod_obj"
+NO_PODS = "no_pods"
+DUMMY_POD_NAME = "Dummy V1PodList"
+LIST_RESPONSE = [
+    {"metadata": {"name": DUMMY_POD_NAME}},
+]
 
 
-def create_namespaced_custom_object_response(*args, **kwargs):
-    if args[2] == "timeout":
+def conditional_error_handler(*args, **kwargs):
+    if args[2] == TIMEOUT:
         raise multiprocessing.TimeoutError()
-    elif args[2] == "runtime":
+    elif args[2] == RUNTIME:
         raise RuntimeError()
 
 
 def list_namespaced_pod_response(*args, **kwargs):
     class MockResponse:
         def get(self, timeout):
-            # Simulate a response from the Kubernetes API, and pass timeout for verification
-            LIST_RESPONSE[0]["timeout"] = timeout
-            if args[0] == "timeout":
+            """
+            Simulates Kubernetes API response for listing namespaced pods,
+            and pass timeout for verification
+
+            :return:
+                - If `args[0] == "timeout"`, raises `TimeoutError`.
+                - If `args[0] == "runtime"`, raises `Exception`.
+                - If `args[0] == "mock_pod_obj"`, returns a mock pod object
+                  with `metadata.name = "Dummy V1PodList"`.
+                - If `args[0] == "no_pods"`, returns an empty list of pods.
+                - Otherwise, returns a default list of dicts representing pods,
+                  with `timeout` included, for testing.
+            """
+            LIST_RESPONSE[0][TIMEOUT] = timeout
+            if args[0] == TIMEOUT:
                 raise multiprocessing.TimeoutError()
-            if args[0] == "runtime":
+            if args[0] == RUNTIME:
                 raise Exception()
+            if args[0] == MOCK_POD_OBJ:
+                pod_obj = Mock(metadata=Mock())
+                pod_obj.metadata.name = DUMMY_POD_NAME
+                return Mock(items=[pod_obj])
+            if args[0] == NO_PODS:
+                return Mock(items=[])
             return Mock(items=LIST_RESPONSE)
 
     return MockResponse()
@@ -156,12 +181,12 @@ def __init__(self, kind) -> None:
     ),
     (
         "create_namespaced_custom_object timeout error",
-        {"job": create_job(), "namespace": "timeout"},
+        {"job": create_job(), "namespace": TIMEOUT},
         TimeoutError,
     ),
     (
         "create_namespaced_custom_object runtime error",
-        {"job": create_job(), "namespace": "runtime"},
+        {"job": create_job(), "namespace": RUNTIME},
         RuntimeError,
     ),
     (
@@ -233,7 +258,7 @@ def __init__(self, kind) -> None:
         "invalid flow with TimeoutError",
         {
             "name": TEST_NAME,
-            "namespace": "timeout",
+            "namespace": TIMEOUT,
         },
         "Label not relevant",
         TimeoutError,
@@ -242,7 +267,7 @@ def __init__(self, kind) -> None:
         "invalid flow with RuntimeError",
         {
             "name": TEST_NAME,
-            "namespace": "runtime",
+            "namespace": RUNTIME,
         },
         "Label not relevant",
         RuntimeError,
@@ -250,14 +275,72 @@ def __init__(self, kind) -> None:
 ]
 
 
+test_data_get_job_pod_names = [
+    (
+        "valid flow",
+        {
+            "name": TEST_NAME,
+            "namespace": MOCK_POD_OBJ,
+        },
+        [DUMMY_POD_NAME],
+    ),
+    (
+        "valid flow with no pods available",
+        {
+            "name": TEST_NAME,
+            "namespace": NO_PODS,
+        },
+        [],
+    ),
+]
+
+
+test_data_update_job = [
+    (
+        "valid flow",
+        {
+            "name": TEST_NAME,
+            "job": create_job(),
+        },
+        "No output",
+    ),
+    (
+        "invalid job_kind",
+        {
+            "name": TEST_NAME,
+            "job": create_job(),
+            "job_kind": "invalid_job_kind",
+        },
+        ValueError,
+    ),
+    (
+        "invalid flow with TimeoutError",
+        {
+            "name": TEST_NAME,
+            "namespace": TIMEOUT,
+            "job": create_job(),
+        },
+        TimeoutError,
+    ),
+    (
+        "invalid flow with RuntimeError",
+        {
+            "name": TEST_NAME,
+            "namespace": RUNTIME,
+            "job": create_job(),
+        },
+        RuntimeError,
+    ),
+]
+
+
 @pytest.fixture
 def training_client():
     with patch(
         "kubernetes.client.CustomObjectsApi",
         return_value=Mock(
-            create_namespaced_custom_object=Mock(
-                side_effect=create_namespaced_custom_object_response
-            )
+            create_namespaced_custom_object=Mock(side_effect=conditional_error_handler),
+            patch_namespaced_custom_object=Mock(side_effect=conditional_error_handler),
         ),
     ), patch(
         "kubernetes.client.CoreV1Api",
@@ -304,8 +387,45 @@ def test_get_job_pods(
             label_selector=expected_label_selector,
             async_req=True,
         )
-        assert out[0].pop("timeout") == kwargs.get("timeout", constants.DEFAULT_TIMEOUT)
+        assert out[0].pop(TIMEOUT) == kwargs.get(TIMEOUT, constants.DEFAULT_TIMEOUT)
         assert out == expected_output
     except Exception as e:
         assert type(e) is expected_output
     print("test execution complete")
+
+
+@pytest.mark.parametrize(
+    "test_name,kwargs,expected_output",
+    test_data_get_job_pod_names,
+)
+def test_get_job_pod_names(training_client, test_name, kwargs, expected_output):
+    """
+    test get_job_pod_names function of training client
+    """
+    print("Executing test:", test_name)
+    out = training_client.get_job_pod_names(**kwargs)
+    assert out == expected_output
+    print("test execution complete")
+
+
+@pytest.mark.parametrize("test_name,kwargs,expected_output", test_data_update_job)
+def test_update_job(training_client, test_name, kwargs, expected_output):
+    """
+    test update_job function of training client
+    """
+    print("Executing test:", test_name)
+    try:
+        training_client.update_job(**kwargs)
+        training_client.custom_api.patch_namespaced_custom_object.assert_called_with(
+            constants.GROUP,
+            constants.VERSION,
+            kwargs.get("namespace", constants.DEFAULT_NAMESPACE),
+            constants.JOB_PARAMETERS[kwargs.get("job_kind", training_client.job_kind)][
+                "plural"
+            ],
+            kwargs.get("name"),
+            kwargs.get("job"),
+        )
+    except Exception as e:
+        assert type(e) is expected_output
+    print("test execution complete")