The Reds currently sit top of Group H having taken maximum points from their opening two matches against Galatasaray and Cluj.
A double-header with Portuguese side Braga is next up with the pair facing each other at Old Trafford on Tuesday night before meeting in Portugal in two weeks time.
"We are not getting carried away," Carrick told PA Sport. "We cannot afford to think that just because we have had a good start it is going to be an easy ride. That is not the case
"It could come back and bite us. We will go into this game [against Braga] like any other and just look to put ourselves in an even better position without looking too far ahead.
"It can be quite tough in the Champions League to judge [who will qualify from each group]. Some people might pick out two teams in a group and say they will be the top two and the others will struggle. Quite a lot of the time, that is not the case.
"It isn't necessarily the teams that catch your eye [namewise] who are the ones that cause you problems. We know even in Cluj, it wasn't straightforward. The lads had to play well to get a result. That is the nature of European football.
"Braga are a good team. You have to respect them for getting to this stage to start with. It is not easy in any league to go through the whole season near the top [and qualify for the Champions League]. You have to respect them. They are going to be of a certain standard and we have to match it."