The club are are hoping to quickly push through a deal for the player, according to reports coming out of Italy.
Juve coach Antonio Conte is now ready to bid €12 million for the 27-year-old Serbia international, which would leave City nursing a hefty loss.
Kolarov recently dismissed speculation linking him to Galatasaray and said he wanted to stay at the Ethiad. However, in the same interview he also accepted that if he is not going to play regular football he would need to review his position.