diff --git a/pandas/_libs/src/datetime/pd_datetime.c b/pandas/_libs/src/datetime/pd_datetime.c
index 4c1969f6d9f57..2c32fb0481486 100644
--- a/pandas/_libs/src/datetime/pd_datetime.c
+++ b/pandas/_libs/src/datetime/pd_datetime.c
@@ -245,7 +245,12 @@ static int pandas_datetime_exec(PyObject *Py_UNUSED(module)) {
 }
 
 static PyModuleDef_Slot pandas_datetime_slots[] = {
-    {Py_mod_exec, pandas_datetime_exec}, {0, NULL}};
+    {Py_mod_exec, pandas_datetime_exec},
+#if PY_VERSION_HEX >= 0x030D0000
+    {Py_mod_gil, Py_MOD_GIL_NOT_USED},
+#endif
+    {0, NULL},
+};
 
 static struct PyModuleDef pandas_datetimemodule = {
     PyModuleDef_HEAD_INIT,
diff --git a/pandas/_libs/src/parser/pd_parser.c b/pandas/_libs/src/parser/pd_parser.c
index 48f3cd14cbc30..51cdf071a15cf 100644
--- a/pandas/_libs/src/parser/pd_parser.c
+++ b/pandas/_libs/src/parser/pd_parser.c
@@ -161,7 +161,12 @@ static int pandas_parser_exec(PyObject *Py_UNUSED(module)) {
 }
 
 static PyModuleDef_Slot pandas_parser_slots[] = {
-    {Py_mod_exec, pandas_parser_exec}, {0, NULL}};
+    {Py_mod_exec, pandas_parser_exec},
+#if PY_VERSION_HEX >= 0x030D0000
+    {Py_mod_gil, Py_MOD_GIL_NOT_USED},
+#endif
+    {0, NULL},
+};
 
 static struct PyModuleDef pandas_parsermodule = {
     PyModuleDef_HEAD_INIT,