Carrick insists United are in no mood to take it easy even though the club's 20th championship - and 13th title since the Premier League was formed - was sewn up by victory over Aston Villa 10 days ago.
He said: "We'll approach them the same as we approach every other game. We want to win, we're not taking our foot off the gas. We have our own pride in our performances.
"We want to enjoy being champions, but at the same time there are games to be played.
"It was a bit of a relief when we won it, it's been coming for some time now.
"But winning it was special - and it will be another special day when we pick up the trophy."