The 29 year old is supposedly still unhappy at the London club after the departure of fellow Portuguese man Jose Mourinho earlier in the season. Carvalho has been a great servant to Chelsea since joining in 2004 from Mourinho's former club FC Porto.
Inter Milan are favourites to snatch up the unhappy defender in January but it is thought that the Italian side may have to offer up to £20 million to obtain the Stamford Bridge number 6.
Although it seems Carvalho is unhappy, this could well be just a rumour. However if the Portuguese international is to leave the London club and with the probable departure of Tal Ben Haim in January it seems as though Chelsea may have to purchase in that department with only Alex and Terry available there.