According to Calciomercato, the 26-year-old has been in conversation with Fulham for weeks and the deal is now closer than ever completed.
Chukwueze has difficulty setting up as a starter since he came to AC Milan van Villareal in 2023, made 72 performances, scored eight goals and offered six assists.
It is understanding that Fulham tried to sign the Nigeria International in January, but AC Milan refused to punish a loan agreement with an option to buy.
Fulham boss Marco Silva has become frustrated by the lack of transfer activity of the club this summer, with their only incoming is that of backup goalkeeper Benjamin Lecomte.