The Mail on Sunday says he is still waiting for a new contract offer from the champions with less than two years left on his current deal.
Although City mentioned the possibility of a new contract offer at the end of last season, nothing has been discussed since, with the club prioritising the signatures of Vincent Kompany, Sergio Aguero and David Silva on long-term teals. Striker Edin Dzeko is expected to follow suit shortly.
Hart's current contract runs until 2016 and City will have to consider their options before the end of the year as the player's transfer value will start to decrease the nearer it gets to the end of the term.
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