The Red Devils find themselves three points clear on top of the Premier League table and are already through to the Champions League knockout phase despite attracting criticism from outsiders.
United have shipped 21 goals in the league, which is quite uncustomary for them, but the fact they have scored 37 – nine more than Manchester City and Tottenham – has Carrick in a very positive mindset.
"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,” he told the Manchester Evening News in the wake of Saturday’s 4-3 win over Reading.
"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."
He added: "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."