A 35-minute hearing ended with a decision that there is probable cause to believe that William Balfour violated parole and should be held until a Dec. 3 hearing before the full Illinois Prisoner Review Board.
Balfour has been questioned, but not charged, in the killings. Authorities have called him a "person of interest."
During Monday's hearing by a member of the review board, Balfour denied any involvement in the crime, including the allegations that he had been seen with a gun.
Balfour, 27, has been in custody since the day the bodies of Hudson's mother and brother were discovered at the family's Chicago home. After 48 hours the longest Chicago police can hold anyone without charges he was taken by the Illinois Department of Corrections on a parole violation.
Balfour the estranged husband of Jennifer Hudson's older sister, Julia Hudson served seven years for a 1999 attempted murder and vehicular hijacking conviction.
Jeanetta Cardine, an executive with the prisoner review board, was told during Monday's hearing that a woman described as Balfour's current or former girlfriend has told investigators she saw him with a gun matching the description of the .45-caliber weapon used in the three killings.
The bodies of 57-year-old Darnell Donerson and 29-year-old Jason Hudson were discovered Oct. 24 at the family's home. Three days later, 7-year-old Julian King's body was found in a sport utility vehicle on the city's West Side.