diff --git a/src/snowflake/snowpark/modin/plugin/extensions/series_overrides.py b/src/snowflake/snowpark/modin/plugin/extensions/series_overrides.py
index 19ee80a9d2..cdeb72fd8f 100644
--- a/src/snowflake/snowpark/modin/plugin/extensions/series_overrides.py
+++ b/src/snowflake/snowpark/modin/plugin/extensions/series_overrides.py
@@ -405,6 +405,26 @@ def to_excel(
     )
 
 
+@register_series_not_implemented()
+def to_json(
+    self,
+    path_or_buf=None,
+    orient=None,
+    date_format=None,
+    double_precision=10,
+    force_ascii=True,
+    date_unit="ms",
+    default_handler=None,
+    lines=False,
+    compression="infer",
+    index=None,
+    indent=None,
+    storage_options: StorageOptions = None,
+    mode="w",
+) -> str | None:  # noqa: PR01, RT01, D200
+    pass  # pragma: no cover
+
+
 @register_series_not_implemented()
 def to_period(self, freq=None, copy=True):  # noqa: PR01, RT01, D200
     pass  # pragma: no cover
diff --git a/tests/integ/modin/frame/test_eval_and_query/test_eval.py b/tests/integ/modin/frame/test_eval_and_query/test_eval.py
index ffefacfe1b..4e53eaa50f 100644
--- a/tests/integ/modin/frame/test_eval_and_query/test_eval.py
+++ b/tests/integ/modin/frame/test_eval_and_query/test_eval.py
@@ -292,11 +292,7 @@ class TestInplace:
             param({"inplace": False}, id="inplace_False"),
         ],
     )
-    @pytest.mark.xfail(
-        strict=True,
-        raises=AssertionError,
-        reason="https://github.com/modin-project/modin/issues/7669",
-    )
+    @sql_count_checker(query_count=2)
     def test_inplace_false_with_assignment_does_not_mutate_df(
         self, test_dfs, engine_kwargs, inplace_kwargs
     ):
diff --git a/tests/integ/modin/hybrid/test_switch_operations.py b/tests/integ/modin/hybrid/test_switch_operations.py
index cec233a65c..bb00c2ce17 100644
--- a/tests/integ/modin/hybrid/test_switch_operations.py
+++ b/tests/integ/modin/hybrid/test_switch_operations.py
@@ -32,6 +32,9 @@
 from snowflake.snowpark.modin.plugin._internal.frame import InternalFrame
 from snowflake.snowpark.modin.plugin.utils.warning_message import WarningMessage
 from snowflake.snowpark.modin.plugin.extensions.datetime_index import DatetimeIndex
+from snowflake.snowpark.modin.plugin._internal.utils import (
+    MODIN_IS_AT_LEAST_0_37_0,
+)
 from tests.integ.utils.sql_counter import sql_count_checker
 from tests.integ.modin.utils import assert_snowpark_pandas_equal_to_pandas
 
@@ -151,21 +154,23 @@ def test_move_to_me_cost_with_incompatible_dtype(caplog):
         df_incompatible.move_to("Snowflake")
 
 
-# There is no query count because the Snowflake->Pandas migration
-# of the small dataset is not counted and there is no actual materialization
-# of the merge
-@sql_count_checker(query_count=0)
+# Newer version of modin switches before the merge
+@sql_count_checker(query_count=2 if MODIN_IS_AT_LEAST_0_37_0 else 0)
 def test_merge(init_transaction_tables, us_holidays_data):
     df_transactions = pd.read_snowflake("REVENUE_TRANSACTIONS")
     df_us_holidays = pd.DataFrame(us_holidays_data, columns=["Holiday", "Date"])
     assert df_transactions.get_backend() == "Snowflake"
     assert df_us_holidays.get_backend() == "Pandas"
-    # Since `df_us_holidays` is much smaller than `df_transactions`, we moved `df_us_holidays`
-    # to Snowflake where `df_transactions` is, to perform the operation.
     combined = pd.merge(
         df_us_holidays, df_transactions, left_on="Date", right_on="DATE"
     )
-    assert combined.get_backend() == "Snowflake"
+    if MODIN_IS_AT_LEAST_0_37_0:
+        # Because the result of the merge is small enough to be faster to execute in native pandas,
+        # we move the Snowflake data to pandas.
+        assert combined.get_backend() == "Pandas"
+    else:
+        # Older version of modin moves to Snowflake because df_us_holidays is small.
+        assert combined.get_backend() == "Snowflake"
 
 
 @sql_count_checker(query_count=2)
@@ -337,7 +342,8 @@ def test_explain_switch_empty():
     assert new_switch_index_names == empty_switch_index_names
 
 
-@sql_count_checker(query_count=0)
+# Newer version of modin switches before the merge
+@sql_count_checker(query_count=2 if MODIN_IS_AT_LEAST_0_37_0 else 0)
 def test_explain_switch(init_transaction_tables, us_holidays_data):
     clear_hybrid_switch_log()
     df_transactions = pd.read_snowflake("REVENUE_TRANSACTIONS")
@@ -427,7 +433,11 @@ def test_unimplemented_autoswitches(class_name, method_name, f_args, use_session
         # Series.to_json will output an extraneous level for the __reduced__ column, but that's OK
         # since we don't officially support the method.
         # See modin bug: https://github.com/modin-project/modin/issues/7624
-        if class_name == "Series" and method_name == "to_json":
+        if (
+            not MODIN_IS_AT_LEAST_0_37_0
+            and class_name == "Series"
+            and method_name == "to_json"
+        ):
             assert snow_result == '{"__reduced__":{"0":1,"1":2,"2":3}}'
         else:
             assert snow_result == pandas_result