diff --git a/Cython/Utility/TypeConversion.c b/Cython/Utility/TypeConversion.c
index 0de20cf7aa1..0c64cae9bc0 100644
--- a/Cython/Utility/TypeConversion.c
+++ b/Cython/Utility/TypeConversion.c
@@ -692,13 +692,20 @@ static CYTHON_INLINE PyObject* {{TO_PY_FUNCTION}}({{TYPE}} value) {
         }
     }
     {
-        int one = 1; int little = (int)*(unsigned char *)&one;
         unsigned char *bytes = (unsigned char *)&value;
-#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
+#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
+        if (is_unsigned) {
+            return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
+        } else {
+            return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
+        }
+#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
+        int one = 1; int little = (int)*(unsigned char *)&one;
         return _PyLong_FromByteArray(bytes, sizeof({{TYPE}}),
                                      little, !is_unsigned);
 #else
         // call int.from_bytes()
+        int one = 1; int little = (int)*(unsigned char *)&one;
         PyObject *from_bytes, *result = NULL, *kwds = NULL;
         PyObject *py_bytes = NULL, *order_str = NULL;
         from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
@@ -1008,7 +1015,16 @@ static CYTHON_INLINE {{TYPE}} {{FROM_PY_FUNCTION}}(PyObject *x) {
             PyObject *v = __Pyx_PyNumber_IntOrLong(x);
             if (likely(v)) {
                 int ret = -1;
-#if PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
+#if PY_VERSION_HEX >= 0x030d00A4 && !CYTHON_COMPILING_IN_LIMITED_API
+                Py_ssize_t bytes_copied = PyLong_AsNativeBytes(v, &val, sizeof(val), -1);
+                if (unlikely(bytes_copied == -1)) {
+                    // failed
+                } else if (unlikely(bytes_copied > sizeof(val))) {
+                    goto raise_overflow;
+                } else {
+                    ret = 0;
+                }
+#elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                 int one = 1; int is_little = (int)*(unsigned char *)&one;
                 unsigned char *bytes = (unsigned char *)&val;
                 ret = _PyLong_AsByteArray((PyLongObject *)v,