Massimiliano Allegri has pushed his side to sign a new defender in the remaining days of the transfer window after the sale of Malick Thiaw to Newcastle.
Now, according to Fabrizio Romano, the Italian giants have taken a step to sign Akanji, 30, of the Premier League Side Man City.
Milan has to make another offer for the international Switzerland, but has made contact with City to discover potential conditions of a deal.
Turkish side Galatasaray was previously connected to a movement for Akanji earlier in the summer, but that has been going on since then.
Man City is deemed to be open to the sale of the central defender with the decision whether or not to leave or not to Akanji.