diff -r 6982f460fa6d Modules/syslogmodule.c
--- a/Modules/syslogmodule.c	Mon Mar 26 23:35:31 2012 -0400
+++ b/Modules/syslogmodule.c	Tue Mar 27 07:55:41 2012 +0200
@@ -331,5 +331,13 @@
     PyModule_AddIntConstant(m, "LOG_CRON",        LOG_CRON);
     PyModule_AddIntConstant(m, "LOG_UUCP",        LOG_UUCP);
     PyModule_AddIntConstant(m, "LOG_NEWS",        LOG_NEWS);
+
+#ifdef LOG_ODELAY
+    PyModule_AddIntConstant(m, "LOG_ODELAY",        LOG_ODELAY);
+#endif
+#ifdef LOG_AUTHPRIV
+    PyModule_AddIntConstant(m, "LOG_AUTHPRIV",        LOG_AUTHPRIV);
+#endif
+
     return m;
 }