The powerful midfielder, who made his France debut last month, is top of the Italian's shopping list this summer.
After enjoying a fine season with Monaco, winning the league reaching the semi-finals of the Champions League and playing 51 games in all competitions, Bakayoko has become wanted man.
Speculation is rife that the switch would pave the way for Namanja Matic to team up once again with former boss Jose Mourinho at Manchester United. The Serbian was a key player for the 'Blues' last season, playing in 35 of their 38 Premier League games as they won the title, but 'The Daily Mail' reports that they would be open to offers for his services should they capture Bakayoko.