Rafael and Ryan Giggs scored as United secured a 2-0 victory at embattled QPR on Saturday to extend their lead at the top to 15 points.
That could be cut by rivals Manchester City when they face Chelsea on Sunday, but it would still need a meltdown of unparalleled proportions for the Red Devils to let a 20th title slip from their grasp.
England international Carrick knows United are in an incredible position of strength but will not be taking that for granted over the remaining 11 matches.
"We've got a job to do and the manager said that we need to take it game to game and just win the next game if we can," he said. "You can't look too far ahead because it can come back and bite you.
"We've got the experience around the place and obviously the manager sets the tone. I think you saw against QPR it was just about that game, getting the result and moving onto the next one."
Carrick was one of a number of experienced players drafted in by Ferguson for the trip to Loftus Road in a bid to avoid a potential banana skin.
"It's not always going to be pretty," he said, speaking to MUTV. "Sometimes you have to grind it out, work hard and make the most of the opportunities.
"That comes from experience as well and the manager picked an experienced side, who would be able to cope with that. We played some good football at times when we had the chance, but other times it was about defending well and playing on the break.
"All in all, I think we can be really delighted with how the day has gone."