diff --git a/Lib/test/test_cmd_line.py b/Lib/test/test_cmd_line.py
index e88b7c8572d9e8b..f4754dbf735a1d9 100644
--- a/Lib/test/test_cmd_line.py
+++ b/Lib/test/test_cmd_line.py
@@ -799,6 +799,7 @@ def check_pythonmalloc(self, env_var, name):
         self.assertEqual(proc.stdout.rstrip(), name)
         self.assertEqual(proc.returncode, 0)
 
+    @support.cpython_only
     def test_pythonmalloc(self):
         # Test the PYTHONMALLOC environment variable
         pymalloc = support.with_pymalloc()
diff --git a/Lib/test/test_import/__init__.py b/Lib/test/test_import/__init__.py
index a302a6075eca0a3..48553f9d48b0103 100644
--- a/Lib/test/test_import/__init__.py
+++ b/Lib/test/test_import/__init__.py
@@ -22,7 +22,6 @@
 import types
 import unittest
 from unittest import mock
-import _testinternalcapi
 import _imp
 
 from test.support import os_helper
@@ -50,6 +49,10 @@
     import _xxsubinterpreters as _interpreters
 except ModuleNotFoundError:
     _interpreters = None
+try:
+    import _testinternalcapi
+except ImportError:
+    _testinternalcapi = None
 
 
 skip_if_dont_write_bytecode = unittest.skipIf(
diff --git a/Lib/test/test_opcache.py b/Lib/test/test_opcache.py
index 692e03fbb5e0841..516953050849e46 100644
--- a/Lib/test/test_opcache.py
+++ b/Lib/test/test_opcache.py
@@ -4,13 +4,14 @@
 import threading
 import types
 import unittest
-from test.support import threading_helper
-import _testinternalcapi
+from test.support import threading_helper, import_helper
+
+# Skip this module on other interpreters, it is cpython specific:
+_testinternalcapi = import_helper.import_module('_testinternalcapi')
 
 
 def disabling_optimizer(func):
     def wrapper(*args, **kwargs):
-        import _testinternalcapi
         old_opt = _testinternalcapi.get_optimizer()
         _testinternalcapi.set_optimizer(None)
         try: