By ESPNSTAR.com staff
United have started this season strongly having already sealed a spot in the next round of the Champions League and are currently leading the Premier League by three points after their 4-3 win over Reading on Saturday.
However, Carrick is adamant that the Red Devils can do even better.
He told the Manchester Evening News: "That's the standards we set; we're not happy until we know we're playing to our potential. The pleasing thing is there's a lot more to come from us.
"There's a lot more room for improvement in certain aspects of our play but at the same time we're sitting on top of the league and we've won again.
"We can't get too down about things, there are a lot of positives."
United conceded the first goal yet again when they played Reading - the 10th time they have done that in the Premier League this season - but Carrick believes that they have the firepower to bail themselves out.
"Even if we do go a goal down we always feel we've got the firepower from different people.
"That's the strength in depth of the attacking options and that's what keeps driving us on and we never give up.
"Personally I always felt confident, even when we were going goals behind, that we could still get back in the game and win the game, and that obviously proved the case."