The Earlier fixture, which ended 0-0 at Anfield, saw Mourinho being criticized for his defensive approach.
But the Portuguese feels United are a much better team and can go toe-to-toe with Jurgen Klopp's men at Old Trafford.
He,however, called on the club's supporters, to match the type of atmosphere at Anfield.
“It's three points plus the emotional side of it for the fans and the players that are in the club for a long time, and I think they understand the feeling better than I do,” Mourinho said at his Friday press conference.
“But I am here for a few months and I understand, step-by-step, the dimension of that feeling, of that good rivalry. I always feel rivalry is a very good thing for the football clubs.
“What I want from the fans I already have, especially because they gave to us in the difficult moments. To have bad results but to have the fans with me and the players, and to feel that, is the best feeling and the most important feeling.
“Now the question is to have a little extra in a match that, for them, means a little bit more. They have to make us feel that feeling. We felt that clearly at Anfield.”