But United midfielder Carrick is remaining calm.
Carrick said: "We're not thinking about that game against Chelsea yet. We're just thinking a game at a time. We're in a good position in the league and it's up to us. If we keep winning we'll be ok."
United are currently top of the table, six points ahead of second-placed Chelsea. But the Blues now have two games in four days - against Wigan at home tonight and away at Everton on Thursday - which means they could be level by the end of the week.
Even so Carrick believes the current champions will take it all in their stride.
He said: "It's about experience. As players you learn as you go, from good experiences and bad. We've progressed and improved and that helps us.
"We have experience of winning the league last year and we have a lot of people in our squad who have won a lot of titles."