Leeds are looking for new players to bolster their squad in a bid to launch a promotion campaign for the 2014/15 season.
Bruce, the son of Hull City manager Steve, was a bit part player last season for the Tigers, and Leeds are keen to bring him back to Elland Road.
The 29-year-old, who spent two years at Elland Road between 2010 – 2012, could now be set for a reunion with the Whites.
Leeds are eager to utilise the £11m they received from Fulham for their star striker Ross McCormack with United already signing three players with Marco Silvestri,Tommaso Bianchi and Souleymane Doukara signing for the club.
Former Tiger David Hockaday also has Cardiff City’s central defender Mark Hudson on his radar, according to the People.