Conte is expected to leave Stamford Bridge this summer and Sarri is the favourite to step into his shoes.
However, rumours are never far away about potential successors, and as reported by The Express, via the paper edition of Tuttosport, should current Napoli boss Maurizio Sarri replace Conte, he will look to take Gonzalo Higuain to west London with him in a deal potentially worth €50m.
They finished fifth, five points adrift of the final Champions League qualification spot, with Conte having appeared a far different entity this season from the enigmatic tactician who led the London club to the league previous year.
A payment of €8m would have been required by Chelsea to alleviate Sarri of his earlier contract with Napoli that was as a result of expire in 2020.
Although they have a chance to win the FA Cup next weekend, Antonio Conte wasn't able to secure Champions League football for next season as they finished fifth in the Premier League, while they crashed out of Europe's premier competition at the last-16 stage this time round.
Regardless of the claims, Conte has lately insisted that stories suggesting he's itching to make for the exit door are 'untrue'.
His statements make it clear that the Blues hierarchy are likely to be the ones to have to initiate any contract termination. Conte nonetheless has one yr left on his £9million-a-year contract, nevertheless.
That would make Sarri, 59, the highest paid manager in Serie A after Juventus boss Max Allegri. Nevertheless, the Italian has dominated himself out of rivalry for both place out of loyalty to his present employers.
The Blues face Manchester United at Wembley on Saturday afternoon.