Conte is prepared to kick off Chelsea's pre-season on Monday after medical checks on Saturday, but it remains to be see if the Premier League and FA Cup victor will indeed still be in charge by then. Winger Willian has been the subject of interest from a few top clubs across the continent.
Chelsea are understandably reluctant to part with the Belgium and Brazil internationals, with Bridge pointing out that a major rebuilding job would be required if sales are sanctioned.
Willian's departure would surely annoy Chelsea fans, as the Brazilian is one of the most liked performers in the squad.
Manchester United are also keen on Willian, but Chelsea will likely rather sell to a foreign side than their domestic rivals.
Since his time as Chelsea boss, Jose Mourinho has been an admirer of Brazil worldwide Willian, and he feels he should sign him for the Red Devils this summer.
The 29-year-old is now plying his trade in Russian Federation in the ongoing FIFA World Cup 2018.
If Chelsea manages to get Mateo Kovacic across the line, it will allow new boss Maurizio Sarri to get rid of Danny Drinkwater and other deadwood, freeing up the budget for the Blues to compete for more signings in the window.
The Sun claim United believe they have won the race for Willian's signature and the deal can now be finalised. However, the Red Devils are not willing to match Chelsea's price of £70 million for the attacking midfielder.
According to a report in the Telegraph, the FA Cup champions will only let Willian join the Old Trafford unit if Frenchman Anthony Martial is included in the deal. However, they will face competition from Barcelona as the Catalonian giants could step up their chase for Willian in the near future.