Kilmarnock are expressing an interest in the 30-year-old who joined City from Dundee United in June 2003 after a loan spell.
Former Bantams boss Jim Jefferies is desperate to land the right man for the number one jersey and is already eyeing up a few targets.
He told the Daily Record:``Combe is one of the keepers put to me. I have a couple of options and if he is available then I will consider it.''