The Danish manager has labelled the match a must-win game for David Moyes’ men following their three consecutive 2-1 defeats, including one to Swansea in the FA Cup on Sunday.
Laudrup said: “Manchester United will come out and have a real go at us. This is a game they want to win, they have to win this game and we must be ready for that.
"I don't think the United players like what they are reading and what they are hearing at the moment about these negative records so I know this will be a very tough game for us.
"But football can change in a very short space of time. If they beat us, win their next game then beat Sunderland 1-0 in their second leg, suddenly they're back near the top four in the league and in a final at Wembley."
The Swans’ success at Old Trafford on Sunday came thanks to goals from Wayne Routledge and Wilfried Bony, with Javier Hernandez getting on the scoresheet for the champions.
Bony’s late header came after substitute Fabio da Silva had been sent off for a bad challenge with ten minutes remaining.
The 49-year-old Swans boss was delighted with the victory and is focused ahead of the rematch.
He added: “We have shown it's possible to win there. In recent games we have played with a lot of confidence, and we just needed that win.
"Sometimes a victory comes when you least expect it and that came at Old Trafford.
"On one hand we know it is possible and now we have confidence going there. However, I think it will be a more difficult game than the one we had there last week."
The visitors will be without the injured Jonathan de Guzman and Dwight Tiendalli on Saturday but Laudrup will be hoping to pile the misery on Moyes.
The Red Devils have lost three matches in a row for the first time since 2001 after the latest setback at the Stadium of Light on Tuesday.
However, United did thrash Swansea 4-1 at the Liberty Stadium on the opening day of the season, with Danny Welbeck and Robin van Persie grabbing a brace each.
The Dutchman is unlikely to be available this weekend as he continues to recover from an injury which has kept him out for over a month.
Moyes knows Laudrup is right and United must win this game without the Dutchman to keep their Champions League hopes alive.
A fourth consecutive defeat is unthinkable at United, and if it were to happen the growing voices of dissent would only get louder and louder.
Will Manchester United fare better against Swansea this time around?
image: © paolo camera