diff --git a/Lib/test/test_ctypes/test_generated_structs.py b/Lib/test/test_ctypes/test_generated_structs.py
index cbd73c4e911e4e..d61754d6d49e70 100644
--- a/Lib/test/test_ctypes/test_generated_structs.py
+++ b/Lib/test/test_ctypes/test_generated_structs.py
@@ -135,6 +135,18 @@ class Packed3(Structure):
 
 @register()
 class Packed4(Structure):
+    def _maybe_skip():
+        # `_pack_` enables MSVC-style packing, but keeps platform-specific
+        # alignments.
+        # The C code we generate for GCC/clang currently uses
+        # `__attribute__((ms_struct))`, which activates MSVC layout *and*
+        # alignments, that is, sizeof(basic type) == alignment(basic type).
+        # On a Pentium, int64 is 32-bit aligned, so the two won't match.
+        # The expected behavior is instead tested in
+        # StructureTestCase.test_packed, over in test_structures.py.
+        if sizeof(c_int64) != alignment(c_int64):
+            raise unittest.SkipTest('cannot test on this platform')
+
     _fields_ = [('a', c_int8), ('b', c_int64)]
     _pack_ = 8
 
@@ -436,6 +448,8 @@ def test_generated_data(self):
         """
         for name, cls in TESTCASES.items():
             with self.subTest(name=name):
+                if _maybe_skip := getattr(cls, '_maybe_skip', None):
+                    _maybe_skip()
                 expected = iter(_ctypes_test.get_generated_test_data(name))
                 expected_name = next(expected)
                 if expected_name is None: