A point at Blackburn Rovers next weekend would secure a record 19th title for the club, and the fourth in five years since Vidic arrived at Old Trafford.
"Mathematically it's not [certain] but I think it's a big advantage," Vidic said. "Six points with two games left. Obviously, we have to focus on the next game against Blackburn already to win the title. We don't want to come to the last game and to be nervous. We have a big advantage and we are nearly there.
"It's important, first of all, to win the title. As well, to be captain of Manchester United is a big honour but, to lift the trophy, is even bigger. I'm just hoping we'll play properly next game and we can celebrate at Blackburn."