"Giroud is expected to be in Italy on Thursday to undergo medicals and sign the contract," wrote Sky Sport on its website.
The daily, La Gazzetta dello Sport, reported that the deal will be worth three million euros per season to Giroud while Chelsea will receive a one-million-euro transfer fee .
It wrote that AC Milan coach Stefano Paoli is "eagerly awaiting his arrival" of the 34-year-old, as the team's star striker Zlatan Ibrahimovic, who is 39 and underwent knee surgery in Rome in June, "is still uncertain" for the coming season.
