Leeds won at Old Trafford for the first time in 44 years on Monday night.
But despite the setback, Carrick hasn't lost his confidence in the players.
“I have to say, whatever happened tonight, it’s not going to suddenly change my opinion on what we are as a team," Carrick said at his post-match press conference.
"We’ve built enough of a foundation to kind of understand what we’re good at and what we need to improve on.
"Moving forward at the end of the season, the games are going to be the games and it’s a big end of the season. There’s no getting away from it.
"The kind of mentality and the character of the boys wanting to do well and trying to give everything, I’ve never doubted that, and I won’t doubt that.
"I think, from what I’ve seen every day and in the games, it’s there. We can certainly improve at certain things so I’m not saying that but the boys are desperate to do well and desperate to improve. We’ve done a lot of good things so far, we need to do more of that for sure."
Carrick also said in the aftermath: "This is one game, alright, so we'll certainly look at it and look to improve. We've got another big and important game next week and it's a big end to the season.
"We're really in a good position. Tonight was disappointing. We didn't want to lose at home but we've got to move on. We've got a big end to the season."