Balfour is in custody on a parole violation. He is the estranged husband of Julia Hudson, sister of the singer and actress.
The chairman of the Illinois Prisoner Review Board, Jorge Montes, says that if an administrative officer finds cause to continue holding Balfour, the case then would go to a review board for a hearing.
However, Montes says "conceivably" Balfour could be released.
Police spokeswoman Monique Bond said the investigation of the killings is continuing and is independent of the prisoner review board's decisions.
