The England forward is a doubt for the game at Carrow Road with an ankle injury picked up in United's last game, a 3-2 win at Aston Villa, which also forced him to miss England's 4-2 friendly defeat in Sweden.
Evans, meanwhile, was also forced out of international duty with a groin injury that saw him miss Northern Ireland's 1-1 draw with Azerbaijan and could join Rooney on the sidelines.
However, there was better news for the Red Devils with Robin van Persie expected to be fit after a thigh problem while Javier Hernandez is expected to start after his match-winning exploits against Aston Villa last time out.
"We've still got some doubts about Wayne [Rooney] and Jonny Evans," Sir Alex told reporters. "I think Robin [van Persie] should be fit. We'll see what they are like today but there is a doubt.
"Phil Jones has been training all week. We will take him to Turkey [to play Galatasaray in the Champions League] with us. He’ll get part of it there, which is a good start for him."
"Bringing on Chicharito [at Villa] was good for us and he should start tomorrow."