diff --git a/275e88f44b.patch b/275e88f44b.patch
new file mode 100644
index 0000000..67dd886
--- /dev/null
+++ b/275e88f44b.patch
@@ -0,0 +1,55 @@
+From 275e88f44beba579174e07980cc3a887bfd1ef3d Mon Sep 17 00:00:00 2001
+From: =?UTF-8?q?Miro=20Hron=C4=8Dok?= <miro@hroncok.cz>
+Date: Fri, 24 Nov 2023 13:47:03 +0100
+Subject: [PATCH] time.clock_gettime and clock_gettime_ns are METH_O in Python
+ 3.13.0a2+
+
+See https://github.com/python/cpython/commit/4fe22c73770
+
+Fixes https://github.com/adamchainz/time-machine/issues/408
+---
+ src/_time_machine.c | 13 +++++++++++++
+ 1 file changed, 13 insertions(+)
+
+diff --git a/src/_time_machine.c b/src/_time_machine.c
+index d55ac54..5646a6c 100644
+--- a/src/_time_machine.c
++++ b/src/_time_machine.c
+@@ -108,7 +108,11 @@ _time_machine_clock_gettime(PyObject *self, PyObject *args)
+     PyObject *time_machine_module = PyImport_ImportModule("time_machine");
+     PyObject *time_machine_clock_gettime = PyObject_GetAttrString(time_machine_module, "clock_gettime");
+ 
++#if PY_VERSION_HEX >= 0x030d00a2
++    PyObject* result = PyObject_CallOneArg(time_machine_clock_gettime, args);
++#else
+     PyObject* result = PyObject_CallObject(time_machine_clock_gettime, args);
++#endif
+ 
+     Py_DECREF(time_machine_clock_gettime);
+     Py_DECREF(time_machine_module);
+@@ -142,7 +146,11 @@ _time_machine_clock_gettime_ns(PyObject *self, PyObject *args)
+     PyObject *time_machine_module = PyImport_ImportModule("time_machine");
+     PyObject *time_machine_clock_gettime_ns = PyObject_GetAttrString(time_machine_module, "clock_gettime_ns");
+ 
++#if PY_VERSION_HEX >= 0x030d00a2
++    PyObject* result = PyObject_CallOneArg(time_machine_clock_gettime_ns, args);
++#else
+     PyObject* result = PyObject_CallObject(time_machine_clock_gettime_ns, args);
++#endif
+ 
+     Py_DECREF(time_machine_clock_gettime_ns);
+     Py_DECREF(time_machine_module);
+@@ -478,8 +486,13 @@ PyDoc_STRVAR(module_doc, "_time_machine module");
+ static PyMethodDef module_functions[] = {
+     {"original_now", (PyCFunction)_time_machine_original_now, METH_FASTCALL|METH_KEYWORDS, original_now_doc},
+     {"original_utcnow", (PyCFunction)_time_machine_original_utcnow, METH_NOARGS, original_utcnow_doc},
++#if PY_VERSION_HEX >= 0x030d00a2
++    {"original_clock_gettime", (PyCFunction)_time_machine_original_clock_gettime, METH_O, original_clock_gettime_doc},
++    {"original_clock_gettime_ns", (PyCFunction)_time_machine_original_clock_gettime_ns, METH_O, original_clock_gettime_ns_doc},
++#else
+     {"original_clock_gettime", (PyCFunction)_time_machine_original_clock_gettime, METH_VARARGS, original_clock_gettime_doc},
+     {"original_clock_gettime_ns", (PyCFunction)_time_machine_original_clock_gettime_ns, METH_VARARGS, original_clock_gettime_ns_doc},
++#endif
+     {"original_gmtime", (PyCFunction)_time_machine_original_gmtime, METH_VARARGS, original_gmtime_doc},
+     {"original_localtime", (PyCFunction)_time_machine_original_localtime, METH_VARARGS, original_localtime_doc},
+     {"original_monotonic", (PyCFunction)_time_machine_original_monotonic, METH_NOARGS, original_monotonic_doc},
diff --git a/python-time-machine.spec b/python-time-machine.spec
index 859b126..4d4bf73 100644
--- a/python-time-machine.spec
+++ b/python-time-machine.spec
@@ -6,6 +6,10 @@ License:        MIT
 URL:            https://github.com/adamchainz/time-machine
 Source:         %{url}/archive/%{version}/time-machine-%{version}.tar.gz
 
+# time.clock_gettime and clock_gettime_ns are METH_O in Python 3.13.0a2+
+# From https://github.com/adamchainz/time-machine/pull/409
+Patch:          %{url}/commit/275e88f44b.patch
+
 BuildRequires:  gcc
 BuildRequires:  python3-devel