Vidic insists the squad are "mentally and physically ready" to bounce back.
"When you lose a derby, especially by that scoreline, it's difficult to take, but the players have shown character this week," the Serbian told ManUtd.com.
"We haven't come to training with our heads down. We have come in and worked harder because we want to play better and improve. This is the right mentality to have to try and get over bad results. They are the positive things that have come from this week.
"When you lose games you can always look at the things that you did wrong and what you can improve. Losing that game was difficult for all the players but it's important to focus on the next match and look forward. Even when you win you can't spend time celebrating, you have to focus on the next game.
"Hopefully we can prove that the derby was just one bad day and show how good we are on Saturday."