Carrick started his spell with a rousing 2-0 victory against Manchester City followed by an exciting 3-2 win against league leaders Arsenal at the Emirates Stadium last week.
The Red Devils will be firm favourites to see off seventh-placed Fulham at Old Trafford on Sunday, but Carrick is remaining calm.
"The feeling around the group, around the squad and the results that we have had, the performances and going into the next game, I don't think the past is too relevant in that respect," Carrick said of his strong start.
"We understand it and what has worked before and what hasn't, but really, I think the boys are in a good place going into the game.
"All of a sudden it is a different game, it's Fulham and just because we are at home taking anything for granted is bang out of order, really."
The former England midfielder also hinted that United could be active in the transfer market before the deadline closes on Monday.
Carrick could be looking for reinforcements after Patrick Dorgu was ruled out for most of the remainder of the season after picking up a hamstring injury against Arsenal.
“Never say never, of course, because a lot can happen and situations can be thrown up,” Carrick said.
"Sometimes it's in our control, sometimes it's maybe something that's out of our control that we got to deal with.
"We're calm, I'm pretty calm. I think we've shown what we're capable of doing as a team and we'll just see what the next few days bring."
Fulham have boosted their attacking ranks by signing Norway winger Oscar Bobb from Manchester City for 27 million pounds, with the 22-year-old agreeing to a five-and-a-half-year contract at Craven Cottage.
David Moyes has admitted Everton were bracing themselves for a major setback after confirming Jack Grealish was likely to miss the rest of the season with a stress fracture in his foot that needs surgery.
Liverpool coach Arne Slot has confirmed that Ibrahima Konate and Curtis Jones are set to return for Saturday's Premier League clash against Newcastle United, giving the Reds a welcome boost amid a mounting injury crisis.
Reece James has said Chelsea's dramatic win away to Napoli showed how far the team have come under head coach Liam Rosenior, describing the performance as a clear statement of their growing confidence and belief.
