diff --git a/tests/playwright/shiny/components/data_frame/data_type/app.py b/tests/playwright/shiny/components/data_frame/data_type/app.py
index 50c76b952..e18ede0b0 100644
--- a/tests/playwright/shiny/components/data_frame/data_type/app.py
+++ b/tests/playwright/shiny/components/data_frame/data_type/app.py
@@ -1,6 +1,13 @@
 from __future__ import annotations
 
-import modin.pandas as mpd  # pyright: ignore[reportMissingTypeStubs]
+import sys
+
+# Remove this conditional once modin is supported on Python 3.13
+if sys.version_info < (3, 13):
+    import modin.pandas as mpd  # pyright: ignore[reportMissingTypeStubs]
+else:
+    raise RuntimeError("This test is not supported on Python 3.13")
+
 import narwhals.stable.v1 as nw
 import palmerpenguins  # pyright: ignore[reportMissingTypeStubs]
 import polars as pl
diff --git a/tests/playwright/shiny/components/data_frame/data_type/test_df_data_type.py b/tests/playwright/shiny/components/data_frame/data_type/test_df_data_type.py
index d3c24e130..ff131eac9 100644
--- a/tests/playwright/shiny/components/data_frame/data_type/test_df_data_type.py
+++ b/tests/playwright/shiny/components/data_frame/data_type/test_df_data_type.py
@@ -1,5 +1,7 @@
 import re
+import sys
 
+import pytest
 from playwright.sync_api import Page
 
 from shiny.playwright import controller
@@ -39,6 +41,10 @@
 ]
 
 
+@pytest.mark.skipif(
+    sys.version_info[:2] == (3, 13),
+    reason="Skipping on Python 3.13, since modin is not supported on 3.13",
+)
 def test_data_frame_data_type(
     page: Page,
     local_app: ShinyAppProc,
diff --git a/tests/playwright/shiny/components/table/app.py b/tests/playwright/shiny/components/table/app.py
index 1a2a2a4e9..4b101bd4c 100644
--- a/tests/playwright/shiny/components/table/app.py
+++ b/tests/playwright/shiny/components/table/app.py
@@ -1,6 +1,13 @@
 from __future__ import annotations
 
-import modin.pandas as md  # pyright: ignore[reportMissingTypeStubs]
+import sys
+
+# Remove this conditional once modin is supported on Python 3.13
+if sys.version_info < (3, 13):
+    import modin.pandas as md  # pyright: ignore[reportMissingTypeStubs]
+else:
+    # This block executes for Python 3.13 and above
+    raise RuntimeError("This test is not supported on Python 3.13")
 import narwhals.stable.v1 as nw
 import palmerpenguins  # pyright: ignore[reportMissingTypeStubs]
 
diff --git a/tests/playwright/shiny/components/table/test_table.py b/tests/playwright/shiny/components/table/test_table.py
index d04bcd39d..5b75b2d4e 100644
--- a/tests/playwright/shiny/components/table/test_table.py
+++ b/tests/playwright/shiny/components/table/test_table.py
@@ -1,11 +1,17 @@
 import re
+import sys
 
+import pytest
 from playwright.sync_api import Page
 
 from shiny.playwright import controller
 from shiny.run import ShinyAppProc
 
 
+@pytest.mark.skipif(
+    sys.version_info[:2] == (3, 13),
+    reason="Skipping on Python 3.13, since modin is not supported on 3.13",
+)
 def test_table_data_support(page: Page, local_app: ShinyAppProc) -> None:
     page.goto(local_app.url)