The defender has struggled to break into the first team under new boss Colin Todd this season.
Macclesfield Town reportedly offered him the chance to play for them but the Football League decided against the loan move.
It is the second time this season City have been prevented from releasing a player on a short term deal.
Last month the League rejected Michael Symes' loan to Darlington when injuries and suspensions threatened to strip City's squad down to the bare bones.