I posted too early, haha. Sorry!
Will what fit? The bowl in the incubator? You want to keep it in the incubator, in case the brooder gets too hot. The incubator should stay much more steady than a heat lamp, lamps get hot and if he's in a bowl he can't get away.
It should be ok, put it in a bowl lined with dry paper towels or tissues, and keep it in the incubator.
Wet ones can chill the baby too much, and they don't really help with humidity. Good luck with him!