A young United team will face Crystal Palace in the Carling Cup quarterfinal tonight.
"There is no harm in getting into the habit of winning games, no matter what competition it is in," said Carrick.
"Some people have written it off as not being so important. But lifting that trophy in February gives you a great feeling.
"It gives you a lot of belief going into the end of the season, not just as players but as a club.
"Winning trophies it gives everyone a boost. It is something we are not taking lightly that's for us."