YES! There is lots of wicking. You might as well just make a fitted if you like pretty prints.
Have not tried what twouglyducks said though.
But what I have done was flannel, 2 layers of hidden pul and a cotton outer. I've tried to make it 100 different ways with no luck

If you do find a way, PLEASE let me know, because I would love to be able to do that as well.