''He should be out for three weeks, maybe a month at most,'' said Ferguson.
Related ArticlesNeville aims new barb at Man CityCity driven nuts by bannerJagielka tells Rooney to expect 'stick' at GoodisonRooney escort's 'sex with 13 stars'Ryan Giggs not ready for Wales jobFerguson backing England 2018Carrick was an unused substitute during England's recent Euro 2012 double-header but has not started a game for United since the Community Shield triumph over Chelsea at Wembley last month.
"He has had a problem with his Achilles," added Ferguson.
"It has been bothering him for a few weeks now, so we sent him to a specialist in London yesterday and he had an injection.
"We are hoping that settles it down.
"We have been considering what we should do about it. The best thing is to get it treated and out of the road now because everyone in the squad is fit."
It means Carrick will miss tomorrow's visit to Everton, plus the home matches with Rangers and Liverpool that follow in a busy week.
However, Ferguson will have Rio Ferdinand available for the first time this season after the defender made a quicker than expected recovery from the knee injury he suffered on the first day of World Cup training in South Africa.
"Rio Ferdinand could have played for the reserves against Stockport last night," said Ferguson.
"He wanted to play but his training performances are so good I didn't see any point.
"He is in the squad. With three games this week, it is good that he is back in the fold."