diff --git a/Include/pyport.h b/Include/pyport.h
index 421b954..19941ec 100644
--- a/Include/pyport.h
+++ b/Include/pyport.h
@@ -715,10 +715,6 @@
 #pragma error_messages (off,E_END_OF_LOOP_CODE_NOT_REACHED)
 #endif
 
-/*
- * Older Microsoft compilers don't support the C99 long long literal suffixes,
- * so these will be defined in PC/pyconfig.h for those compilers.
- */
 #ifndef Py_LL
 #define Py_LL(x) x##LL
 #endif
diff --git a/Include/pythread.h b/Include/pythread.h
index 459a5d5..dd681be 100644
--- a/Include/pythread.h
+++ b/Include/pythread.h
@@ -42,9 +42,9 @@
 
 /* In the NT API, the timeout is a DWORD and is expressed in milliseconds */
 #if defined (NT_THREADS)
-#if (Py_LL(0xFFFFFFFF) * 1000 < PY_TIMEOUT_MAX)
+#if 0xFFFFFFFFLL * 1000 < PY_TIMEOUT_MAX
 #undef PY_TIMEOUT_MAX
-#define PY_TIMEOUT_MAX (Py_LL(0xFFFFFFFF) * 1000)
+#define PY_TIMEOUT_MAX (0xFFFFFFFFLL * 1000)
 #endif
 #endif