diff --git a/tests/system/large/ml/test_ensemble.py b/tests/system/large/ml/test_ensemble.py
index e00f7fa665..706cbfdfaf 100644
--- a/tests/system/large/ml/test_ensemble.py
+++ b/tests/system/large/ml/test_ensemble.py
@@ -395,7 +395,7 @@ def test_randomforestclassifier_multiple_params(penguins_df_default_index, datas
         f"{dataset_id}.temp_configured_randomforestclassifier_model"
         in reloaded_model._bqml_model.model_name
     )
-    assert reloaded_model.tree_method == "auto"
+    assert reloaded_model.tree_method.casefold() == "auto"
     assert reloaded_model.colsample_bytree == 0.95
     assert reloaded_model.colsample_bylevel == 0.95
     assert reloaded_model.colsample_bynode == 0.95
diff --git a/tests/system/large/test_remote_function.py b/tests/system/large/test_remote_function.py
index 4114eaae03..cce49ea187 100644
--- a/tests/system/large/test_remote_function.py
+++ b/tests/system/large/test_remote_function.py
@@ -21,7 +21,7 @@
 import tempfile
 import textwrap
 
-from google.api_core.exceptions import BadRequest, InvalidArgument, NotFound
+import google.api_core.exceptions
 from google.cloud import bigquery, storage
 import pandas
 import pytest
@@ -849,7 +849,7 @@ def square(x):
         expected_remote_function = f"{dataset_id}.{rf_name}"
 
         # Initially the expected BQ remote function should not exist
-        with pytest.raises(NotFound):
+        with pytest.raises(google.api_core.exceptions.NotFound):
             session.bqclient.get_routine(expected_remote_function)
 
         # Create the remote function with the name provided explicitly
@@ -981,7 +981,7 @@ def test_internal(rf, udf):
         expected_remote_function = f"{dataset_id}.{rf_name}"
 
         # Initially the expected BQ remote function should not exist
-        with pytest.raises(NotFound):
+        with pytest.raises(google.api_core.exceptions.NotFound):
             session.bqclient.get_routine(expected_remote_function)
 
         # Create a new remote function with the name provided explicitly
@@ -1198,7 +1198,8 @@ def square(x):
         scalars_df, _ = scalars_dfs
 
         with pytest.raises(
-            BadRequest, match="400.*errorMessage.*unsupported operand type"
+            google.api_core.exceptions.BadRequest,
+            match="400.*errorMessage.*unsupported operand type",
         ):
             # int64_col has nulls which should cause error in square
             scalars_df["int64_col"].apply(square).to_pandas()
@@ -1431,20 +1432,6 @@ def square_num(x):
         )
 
 
-def test_remote_function_via_session_vpc_invalid(session):
-    with pytest.raises(
-        InvalidArgument, match="400.*Serverless VPC Access connector is not found"
-    ):
-
-        @session.remote_function(
-            [int], int, reuse=False, cloud_function_vpc_connector="does-not-exist"
-        )
-        def square_num(x):
-            if x is None:
-                return x
-            return x * x
-
-
 @pytest.mark.parametrize(
     ("max_batching_rows"),
     [