diff --git a/array_api_strict/tests/test_array_object.py b/array_api_strict/tests/test_array_object.py
index ba2fa48..0c3643d 100644
--- a/array_api_strict/tests/test_array_object.py
+++ b/array_api_strict/tests/test_array_object.py
@@ -1,3 +1,4 @@
+import sys
 import operator
 from builtins import all as all_
 
@@ -351,6 +352,10 @@ def test_array_properties():
     assert b.mT.shape == (3, 2)
 
 
+@pytest.mark.xfail(sys.version_info.major*100 + sys.version_info.minor < 312,
+                   reason="array conversion relies on buffer protocol, and "
+                          "requires python >= 3.12"
+)
 def test_array_conversion():
     # Check that arrays on the CPU device can be converted to NumPy
     # but arrays on other devices can't. Note this is testing the logic in