The Reds' schedule after the disappointing defeat to West Brom included two away games in a week before another international break. With a point secured in Ukraine from a 1-1 draw, the Serbian centre-back is determined that the champions defend well again on Wearside.
"I think this is actually a more important game," Vidic told ManUtd.com at the Donbass Arena after the game. "Even though it was Shakhtar in the Champions League.
"I think we have to perform well at Sunderland, like we did against Shakhtar, in terms of our defending. With the quality we have up front, we are always able to score goals. I think there's no question about that.
"But we have to defend right and have the right mentality to ensure we can be in a good position."
Shakhtar made life difficult for United in Donetsk but the draw keeps David Moyes' side on top of Group A and Vidic had praise for the work ethic displayed by his team-mates.
"It was a hard game," he stated. "We have had some bad results in the last few weeks and needed a reaction in this match. In certain ways, it proved to be a hard game. We scored an early goal and we started well but you have to accept that Shakhtar are at home and are a good side as well. They can play.
"I have to say, overall, that I was really pleased with the attitude of the players. They showed character and worked hard for the team and hard for each other so this is good build-up for the games to come."