The 26-year-old was left on the bench for United's 3-2 win over Fulham last weekend as new signings Shinji Kagawa and Robin van Persie were handed forward roles.
|12/1||Robin van Persie is 12/1 with William Hill to score a hat-trick against Southampton
The former Everton striker also sustained a gash to his right thigh when appearing as substitute in the win and is expected be out for four weeks.
However, Rooney has been quick to quell any talk of him leaving Old Trafford, taking to social networking site Twitter to calm the fears of United fans.
He tweeted: "Read the nonsense in the papers and heard what people have to say. Absolute rubbish. #heretostay"
As a result of his injury, Rooney is expected to miss England's World Cup qualifiers against Moldova and Ukraine next month.