Have to agree with most posters, I think it's better to sleep for a short while than trying to fight sleep. If you discuss it with your collegue what's the problem?
I remember when I flew on the 757 (aaahhh) we had this "pilot awareness" function of the EICAS, every once in a while we were lucky enough to make it to a full blown warning
after the system produced first a message on the display and secondly a caution with the associated aural.
Sleep tight