The Serbian and his team-mates have not won at Anfield since December 2007, when Carlos Tevez grabbed the winner, and Vidic expects another tough examination even if Brendan Rogers' new side have yet to register a league win this term.
After playing his part in United keeping a second successive clean sheet on Wednesday, Vidic says the Reds are ready for what promises to be another test of character this weekend.
"These are the games you want to play in," he told MUTV. "There's always a good atmosphere, our fans give us great support at Anfield. We’ll go there to enjoy the game and play good football. We're in good shape at the moment, we have a few players back from injuries and I think we will prepare well for this game.
"If you look over the last few years, it doesn't matter how they are playing or how many points they've got, Liverpool always have a good game against United. They'll be strong, they'll be aggressive and they obviously have strong support from their fans.
"It's a different game. Form does not give any team an advantage. It's a game by itself. We have to think about that. We're not going there as favourites, we just have an equal chance of winning."
Also in his MUTV interview, Vidic welcomed the three points from United's opening Champions League fixture against Galatasaray.
"It was a tough game," he admitted. "We started well and scored the goal. They had a few chances but I think we had more overall and, in the end, I think we were the better team and we deserved to win this game.