Corey Dillon To Packers?

Former New England running back Corey Dillon, currently on the free agent list has been reportedly looked at by the Green Bay Packers. Green Bay has a very thin running back group because of numerous injuries. As of now there starting back is rookie Brandon Jackson who would split time with Vernand Morrency who is currently injured. The Packers would be looking for an experienced NFL back to help out Brett Favre and Dillon would be a perfect fit considering he played with Tom Brady and the Patriots. UPDATE: It has also been rumored that the Packers were considering trading for Chargers backup Michael Turner or Kansas City's Larry Johnson. It doesn't seem likely that the Chiefs would trade away the star running back but he is holding out right now because of contract disputes. The Packers would likely have to send over a first round picks and some other players/picks. Turner would be more logical because he would be much cheaper because of his status as a backup to LT.