Sir Alex's men have established a 12-point gap with just 11 league games remaining but United midfielder Carrick insists not even a hint of complacency has crept into the Reds' camp.
"We're trying the best we can [to block out talk of the title being won already]," he told MUTV.
"We have a job to do and the manager has said we need to think game to game and just win the next match, what's in front of us.
"You can't look too far ahead because it can come back and bite you."
Last season the Reds blew an eight-point lead with six games to play, an experience Carrick and his team-mates will be determined not to repeat this time around.
Certainly, the current signs are good. United are unbeaten in all competitions since 5 December and manager Sir Alex Ferguson has almost a full squad at his disposal. Only Phil Jones (ankle) and Robin van Persie (hip) are doubts for this Saturday's game against Norwich, with Paul Scholes almost certainly ruled out with a knee injury.
"We've got the experience around the place [to cope with the pressure]," Carrick said. "You saw at QPR, it was all about getting a result and that's what we focused on. Now we move onto the next game."