The Sun says United are ready to cash in on the 26-year-old unless he bucks up.
Manchester City were close to signing Rooney when he revealed he wanted to quit United in October 2010.
The player eventually changed his mind and decided to stay at Old Trafford but the wounds from that episode have never healed.
The champions remain interested in signing the ex-Everton ace but are now convinced United will never sell to them.
Any movement will not come until January, with Rooney sidelined for up to two months after suffering a badly gashed thigh in an accidental collision with Fulham’s Hugo Rodallega.