Conte has been lined up by Chelsea owner Roman Abramovich as the permanent successor to interim boss Guus Hiddink.
Express Sport understands the Italian will sign a three-year contract worth £18million at Stamford Bridge.
And according to reports, the Italian FA could be about to announce Conte's decision to step down as national team boss of the Azzurri.
The Evening Standard claim Conte will call Italian football president Carlo Tavecchio to inform him of the decision today.
Express Sport understands Chelsea are bracing themselves for a mass summer exodus, with Eden Hazard, Oscar, Willian, Nemanja Matic, Loic Remy, John Terry, Diego Costa, Radamel Falcao, Alexandre Pato and Pedro all potential departures.
Conte is already thought to have started planning his incomings at Chelsea and wants Roma sporting director Walter Sabatini to come with him.
The Times claim Conte will ask Abramovich for funds to sign five players this summer.
Roma duo Radja Nainggolan and Miralem Pjanic, Paris Saint-Germain striker Edinson Cavani and Juventus defender Leonardo Bonucci are all targets.