Saturday's results tighten United's grip on the title race with just nine games left to play, but Vidic is wary of complacency and warns his team-mates must not let such a fortunate position slip.
"We will take the three points but we didn't get them easily," Vidic told MUTV. "You want to win your games and play for your country during the international break without any bad feelings and we have done that. Now, we just have to think about the next games that are coming.
"If you look at the 15-point lead, you have to say that it is a big gap and we shouldn't let anything change. We have the title in our hands but we have games still to play and some especially tough away games that are traditionally hard for us. Nothing is finished yet, but we're in a good position.
"Sometimes you can feel the fans in the stands getting nervous because they think about last season. I don't think we should allow that to happen again. We are in a good position now. We should relax and enjoy playing football. It is a good time for us."