diff --git a/python_tests/artifact/test_backend.py b/python_tests/artifact/test_backend.py
index c9caec1d..56fdf6f5 100644
--- a/python_tests/artifact/test_backend.py
+++ b/python_tests/artifact/test_backend.py
@@ -128,6 +128,10 @@ def test_study_artifact_not_found() -> None:
         assert status == 404
 
 
+@pytest.mark.skipif(
+    version.parse(optuna.__version__) < version.parse("3.4.0"),
+    reason="upload_artiract needs storage",
+)
 def test_successful_study_artifact_retrieval() -> None:
     storage = optuna.storages.InMemoryStorage()
     study = optuna.create_study(storage=storage)
@@ -263,6 +267,10 @@ def test_upload_artifact() -> None:
             assert data == "dummy_content"
 
 
+@pytest.mark.skipif(
+    version.parse(optuna.__version__) < version.parse("3.4.0"),
+    reason="upload_artiract needs storage",
+)
 def test_delete_study_artifact() -> None:
     storage = optuna.storages.InMemoryStorage()
     study = optuna.create_study(storage=storage)
diff --git a/python_tests/test_csv_download.py b/python_tests/test_csv_download.py
index dc2d3ee6..6a9e57cd 100644
--- a/python_tests/test_csv_download.py
+++ b/python_tests/test_csv_download.py
@@ -11,8 +11,8 @@ import pytest
 from .wsgi_client import send_request
 
 
-if version.parse(optuna.__version__) < version.parse("3.2.0"):
-    pytest.skip("Study.metrics_name is introduced at v3.2.0", allow_module_level=True)
+if version.parse(optuna.__version__) < version.parse("3.4.0"):
+    pytest.skip("Study.metrics_name is introduced at v3.4.0", allow_module_level=True)
 
 
 def _validate_output(