The Red Devils went within a point of league leaders Chelsea after yesterday's controversial 3-2 win at Stamford Bridge and Carrick is of the belief that things within the United camp are very positive following 11 wins from 13 matches in all competitions.
Carrick was also targeting maximum points against United's title rivals with vital fixtures coming up.
"That's why it was important and next week is just as important. It's a good start to the season. We've obviously had a couple of defeats but we've bounced back and we're still in a good position, so we can be happy."
He added of the Chelsea win: "It's a huge three points. Not winning here for a long time against our biggest rivals, we wanted to put that right and we wanted to win for that."