diff --git a/Lib/test/libregrtest/tsan.py b/Lib/test/libregrtest/tsan.py
index c5aed436b82..dd18ae2584f 100644
--- a/Lib/test/libregrtest/tsan.py
+++ b/Lib/test/libregrtest/tsan.py
@@ -2,6 +2,9 @@
 # chosen because they use threads and run in a reasonable amount of time.
 
 TSAN_TESTS = [
+    # TODO: enable more of test_capi once bugs are fixed (GH-116908, GH-116909).
+    'test_capi.test_mem',
+    'test_capi.test_pyatomic',
     'test_code',
     'test_enum',
     'test_functools',
@@ -11,6 +14,9 @@ TSAN_TESTS = [
     'test_io',
     'test_logging',
     'test_queue',
+    'test_signal',
+    'test_socket',
+    'test_sqlite3',
     'test_ssl',
     'test_syslog',
     'test_thread',
diff --git a/Modules/_testinternalcapi.c b/Modules/_testinternalcapi.c
index b3076a8f548..1c10dd02138 100644
--- a/Modules/_testinternalcapi.c
+++ b/Modules/_testinternalcapi.c
@@ -1287,8 +1287,8 @@ check_pyobject_forbidden_bytes_is_freed(PyObject *self,
 static PyObject *
 check_pyobject_freed_is_freed(PyObject *self, PyObject *Py_UNUSED(args))
 {
-    /* This test would fail if run with the address sanitizer */
-#ifdef _Py_ADDRESS_SANITIZER
+    /* ASan or TSan would report an use-after-free error */
+#if defined(_Py_ADDRESS_SANITIZER) || defined(_Py_THREAD_SANITIZER)
     Py_RETURN_NONE;
 #else
     PyObject *op = PyObject_CallNoArgs((PyObject *)&PyBaseObject_Type);