Although Manchester United, Chelsea and Manchester City are most people's picks to be the three main challengers, Carrick anticipates his old club Tottenham will be a force.
He also thinks Arsenal can recover from their bad start, whilst Liverpool look a more solid outfit in their second campaign under Brendan Rodgers.
Yet history suggests the numbers start to reduce after the Christmas period. And Carrick sees no reason why it should be any different this time around.
"Potentially there could be between four and six teams involved right until January or February," he told MUTV.
"Just after that is when it really gets sorted out. The pressure kicks in and the expectations change.
"It's how you deal with that.
"Two years ago Tottenham were right in there, but they faded away a bit.
"Hopefully we'll be in with a shout at that time and are able to use our experience to see us through."
Although United started their campaign with an impressive 4-1 win at Swansea, their rivals' looked equally good on their first outings, with City ended the round of matches by recording the biggest victory of all, over Newcastle.
"Things have gone pretty much as expected so far," said Carrick.
"Chelsea were flying in the first half [against Hull], with (Jose) Mourinho being back.
"City got in front and pretty much cruised after that.
"Palace away was a tough game for Tottenham. Their victory shows that maybe they'll be more of a force because that was the type of game they might have slipped up in before.
"Arsenal are the team that are getting a lot of the attention because they had a bad start.
"But when it settles down it will probably be the same old faces."