Clinton Campaign: Fusion GPS provided legal advice

I wonder if the Clinton campaign and Fusion GPS have a legitimate legal case for claiming Lawyer client privilege in this case. Seems to me they are grasping at straws. If client and lawyer conspire to commit a crime I believe lawyer client privilege no longer apply. If Sussmann was giving knowingly false information to the FBI and federal officials is that a crime? We know Sussmann lied to the FBI.