Deco looks set to miss Chelsea's upcoming games against Portsmouth in the Carling Cup and CFR 1907 Cluj in the Champions League, as well as league games against Stoke and Aston Villa.
The loss of the influential Carvalho could be harder for the Blues to cope with.
Alex came off the bench to replace Carvalho against United at Stamford Bridge and responded with a solid display, but centre back is a position that the club has had problems with in the past.
They will be hopeful of having former Porto defender Carvalho back after the next international break in time to make their Champions League tie against Roma on 22 October.
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