Sitting on the hops will allow the beer to extract more hop aroma (to a point), possibly overdoing it. Long than that and you can start to get an odd vegital flavor.
Transferring it off the dry hops to a clean sanitized carboy will help avoid this, but as soon as you do that you're going to start losing the aroma you were dry hopping to get.
Kind of 6 of one half dozen of the other situation.
Or you can just bottle it, even if you have to stay up late to do it. Which is more important, sleep or beer?