You do realize you can't actually SLEEP, right? You'll be fine.
I mean, you can get tired, but, if it makes you feel any better, there's lots of weapons and armor around which you can take advantage of.
Like maybe a liquid nitrogen tank or something? Perhaps Jester's genius guy can go all Techne on it, and soup it up, so it intakes (from the air) the ingredients that can be mixed together to make liquid nitrogen. Freeze stuff.
“…Judge not what a man has done, but judge what he could have done if he was a different bloke altogether. For art thou a leper? And a leper can changeth his spots…” --Rudy Wade, Misfits (Series 4, Episode 8)