It's hard to predict what the future will be for the paper money, but I don't think it will disappear very soon, because it's still used by many people.
But you can see that Bitcoin is getting more popular and used, and that's a good sign.
I don't even think that it will disappear ever. Paper money will remain forever. and if bitcoin want to replace other money bitcoin need to come into paper money shape. so it will be a new life of paper money but paper money won't disappear.
bitcoin getting more and more users daily which is definitely a good sign for bitcoin. but it won't effect paper's money's important at all(at least now)