He would succeed interim boss Hiddink a few days after Euro 2016 in France concludes on 10 July.
Meanwhile, it emerged yesterday that Conte’s appeal to bring forward a court case on match fixing has been granted by an Italian judge.
Conte had asked his hearing, which will examine his alleged role in the match-fixing scandal that dogged Italian football five years ago, to be moved so as not to clash with the European Championships.
His new date is 4 April and the trial should be completed within a month.
As for Chelsea, they need to reverse a 2-1 defeat from the first leg of last month’s last-16 clash in Paris.