diff --git a/tests/integ/modin/test_apply_snowpark_python_functions.py b/tests/integ/modin/test_apply_snowpark_python_functions.py
index 8a2c214cea7..61982714380 100644
--- a/tests/integ/modin/test_apply_snowpark_python_functions.py
+++ b/tests/integ/modin/test_apply_snowpark_python_functions.py
@@ -11,6 +11,7 @@
 
 from tests.integ.modin.utils import assert_frame_equal, assert_series_equal
 from tests.integ.utils.sql_counter import sql_count_checker, SqlCounter
+from tests.utils import running_on_jenkins
 
 
 @sql_count_checker(query_count=4)
@@ -71,6 +72,10 @@ def test_apply_snowpark_python_function_not_implemented():
         pd.DataFrame({"a": [1, 2, 3]}).apply(asc, args=(1, 2))
 
 
+@pytest.mark.skipif(
+    running_on_jenkins(),
+    reason="TODO: SNOW-1859087 snowflake.cortex.summarize SSL error",
+)
 def test_apply_snowflake_cortex_summarize(session):
     from snowflake.snowpark.functions import snowflake_cortex_summarize
 
@@ -95,6 +100,10 @@ def test_apply_snowflake_cortex_summarize(session):
         assert 0 < len(summary) < len(content)
 
 
+@pytest.mark.skipif(
+    running_on_jenkins(),
+    reason="TODO: SNOW-1859087 snowflake.cortex.sentiment SSL error",
+)
 def test_apply_snowflake_cortex_sentiment(session):
     from snowflake.snowpark.functions import snowflake_cortex_sentiment
 
diff --git a/tests/integ/test_function.py b/tests/integ/test_function.py
index a67d3207199..05d912fc0ce 100644
--- a/tests/integ/test_function.py
+++ b/tests/integ/test_function.py
@@ -175,7 +175,7 @@
     TimestampType,
     VariantType,
 )
-from tests.utils import TestData, Utils
+from tests.utils import TestData, Utils, running_on_jenkins
 
 
 def test_order(session):
@@ -2273,6 +2273,10 @@ def test_ln(session):
     "config.getoption('local_testing_mode', default=False)",
     reason="FEAT: snowflake_cortex functions not supported",
 )
+@pytest.mark.skipif(
+    running_on_jenkins(),
+    reason="TODO: SNOW-1859087 snowflake.cortex.summarize SSL error",
+)
 def test_snowflake_cortex_summarize(session):
     # TODO: SNOW-1758914 snowflake.cortex.summarize error on GCP
     if session.connection.host == "sfctest0.us-central1.gcp.snowflakecomputing.com":
@@ -2312,7 +2316,11 @@ def test_snowflake_cortex_summarize(session):
     "config.getoption('local_testing_mode', default=False)",
     reason="FEAT: snowflake_cortex functions not supported",
 )
-def test_apply_snowflake_cortex_sentiment(session):
+@pytest.mark.skipif(
+    running_on_jenkins(),
+    reason="TODO: SNOW-1859087 snowflake.cortex.sentiment SSL error",
+)
+def test_snowflake_cortex_sentiment(session):
     # TODO: SNOW-1758914 snowflake.cortex.sentiment error on GCP
     if session.connection.host == "sfctest0.us-central1.gcp.snowflakecomputing.com":
         return