The 23-year-old limped out of United's 1-0 Champions League defeat to Cluj on Wednesday, leaving him doubtful for Sunday's eagerly-anticipated clash with Manchester City.
He said: "I thought Kagawa may have a chance but he is still a bit short. He won't be available until Sunderland next week.
"Nemanja Vidic is certainly doing well in training. It is just his own confidence to play. He will be ready for Sunderland."
United's defence has come under scrutiny following the 4-3 victory at Reading last week. And Ferguson admitted set-piece defending has been worked on at the training ground since. He said: "Manchester City will have expected us to work on it (defending set pieces). I am sure they have (worked on attacking them)."
Meanwhile, Ferguson has confirmed Manchester United midfielder Anderson will be out for at least three weeks with a hamstring injury.
The Brazilian limped off during Saturday's win at Reading. It came at the end of an impressive recent period for the former FC Porto star, who has brought added energy to the Red Devils' ranks.
However, after a succession of major injuries, Anderson has now picked up another problem that will keep him out for the remainder of the month. "It is a hamstring," Ferguson told MUTV. "It will be three or four weeks. It is not serious but it is a hamstring."