I'd suggest you first try to deposit the rolled coins directly with a teller and only unwrap and feed them to the machine if you must.
Regrettably, my bank (US Bank) requires that the coins be unwrapped. I suppose its possible to only put 24 coins in each roll and short them pretty significantly. Here in Milwaukee only the big branch downtown has a coin counter, so unless I only take in a single box, I've found the other branches won't accept them.