Spurs went some way to bouncing back from their 6-0 mauling by Manchester City last weekend with a 2-0 win at freezing cold Tromso in Norway in the Europa League on Thursday.
On Sunday, they will face a United side buoyed by a 5-0 victory over Bayer Leverkusen in the UEFA Champions League in midweek, which was probably their best performance of the season.
Sigurdsson said he and his team-mates are desperate to make amends for last weekend's Etihad horror show.
"We were unhappy with what we did last Sunday," Sigurdsson said. "We have talked a lot about what happened, but that is in the past now.
"We need to get a good reaction from the squad. I am sure we will be fired up against Manchester United and we are determined to get the three points.
"We beat them at Old Trafford and drew with them at home and that can only be a positive thing for us.
"They are the team everyone wants to beat."
Roberto Soldado failed to test the Tromso goalkeeper during Thursday's win, which ensured Spurs finished top of Group K with one game to spare.
The fact that Jermain Defoe and Emmanuel Adebayor were left in London suggests boss Andre Villas-Boas could field his old strike partnership up front for the first time this season on Sunday.
Soldado has only scored once in open play since his £26m move from Valencia and Villas-Boas is expected to try something else up front with goalscoring their big problem.
Sigurdsson said: "Our target is to finish in the top four. We are four points off second place now so there is no need to worry yet, even though we need to score more goals than we have been doing in the last few games.
"Hopefully we can continue doing what we did against Tromso and score a few goals on Sunday.
"We have to make sure we give them a harder game. We need to bounce back and give the club and fans what they deserve. We need to put on a performance that is more like us and we need to play attacking football, create chances and score goals and I am sure that we will do that on Sunday."