Speeding up the application process is what we're aiming to do in Switzerland as well.
It's not really that the money they have is not enough. It's that they aren't allowed to work and thus they are (mostly) young men with nothing to do. And especially for immigrants from foreign cultures working is very important for integration. You learn so many social rules and the language while working. That just doesn't happen lungering around at the train station. Your also less likely to commit crimes.
That said, the unemployment situation is already critical in some european countries, this amount of people in such a short time will cause problems no matter how it's handled.
Over 40% unemployement for under 30 in southern europe. Good luck finding work for all those migrants and not have our local youth all vote far right.