At present, banks and governments are against bitcoin, so they wouldn't allow bitcoin deposit in near future. As bitcoin is getting popular with each passing days, so we can't tell what would happen in two or three years time.
Well if there's a good potentials that it can bring a decent profits then banks will deal with it, here in my place we do have third party exchange where we can deposit our earnings from bitcoin and exchange it to this said third party and we can choose a bank deposit to make it fully secured withdrawing our hard earned money, but still not bitcoin to bank deal.