Vidic has been out with a broken collarbone after United’s 4-1 victory over Blackburn in March and was ruled out for five weeks.
Ferguson said: “Vidic is coming along very, very well, and he starts training on Monday.
“He’s been doing some work in the gym but on Monday he’ll start some serious work and hopefully he might possibly be available for the latter games.”
He added on United’s other injured players: “Gary Neville is progressing quite well, there’s a chance he’ll be ready for Everton.
“We’ll make a decision on Ji-sung Park next week.
“We’ve seen the specialist and hopefully we can get an opinion on what the next stage should be.
“Louis Saha is continuing his progress with the physios, but I don’t think he’ll be fit for this week.”