Hart, after guiding the Reds to the playoffs last season, is clear favourite to take over at Elland Road with some bookies offering only 2/1.
Gordon Strachan is unlikely to leave Southampton but is available at 20/1 and Coventry player/manager and former Leeds captain Gary McAllister is a good bet at 10/1.
Meanwhile, Forest's Reid has been called up for Ireland's senior squad for the first time. They take on Denmark in a friendly next week and the skillful 21-year-old is delighted.
He said: "I'd love to win my first cap but just being a part of the senior squad is sure to be a great experience."