Sure, why not? He's been an assistant there forever and he built a really good defense that is the best part of that team. There's no doubting his qualifications as he was obviously the most qualified guy on the staff whane Paterno was dismissed and probably would have gotten the job soon anyway. He had nothing to do with the scandal.
It's also a no-lose situation for the administration. If he wins, great. He's showed that Penn State is bigger than the scandal. If he loses, make a clean break and start over. It's the same strategy that Penn State would have had if Paterno had keeled over and died anyway.
I'll also remind you that Penn State currently has no President or Athletic Director, so there's no one there to competently lead a coaching search or make the commensurate promises to a candidate.
As long as Bradley doesn't totally screw up the rest of the season, the job is his. He needs to get rid of Jay Paterno though. That guy sucks.