Sir Alex Ferguson's team wrapped up their 20th league title with four games to spare, but Vidic wants to end the season strongly - starting with a win over Chelsea on Sunday.
The central defender claimed that the whole squad are motivated and looking to keep up their winning mentality right through to the end of the season.
"The most important thing is to win the games and keep that winning mentality. Sometimes when you play without the pressure you can have a good game and enjoy it more," Vidic told United's official website.
"There is enough of a motivation for us. We are motivated every time we step out at Old Trafford. When we go into the games we have a mentality to win which is not going to change against Chelsea or anyone else.
"The only difference is we are relaxed. We are not chasing points for the trophy. We have won that so we can enjoy the game. We will try to win. We don't want to lose the last three games. We want to finish in a good style."
The Red Devils face Chelsea at Old Trafford this afternoon.