The Bosnian international is part of the first team this season and Inter are probaly kidding themselves to believe Manuel Pellegrini could be willing to sell at the end of the season.
Dzeko has a contract at the club until 2015 and is said to be "very happy" at the club.
According to the Mirror, Inter are ready to offer a bid in the region of £15million.
Borussia Dortmund have a long standing interest in Dzeko, and with Robert Lewandowski leaving for Bayern Munich at the end of the season, Dortmund could enter the race IF City were interested in offers.