The 59-year-old former Napoli coach has been touted to take over from Antonio Conte at the Stamford Bridge this summer.
However, there's been a twist regarding this pay-out as Chelsea plan to save a few pounds on this figure by launching a legal claim that Conte mismanaged the sale of Diego Costa last summer, with the striker infamously informed of his departure via text message.
Manchester United players report for pre-season training
Mourinho has around 17 senior players available for the tour of the United States, which will start with a flight to Los Angeles on Sunday.
Asked if he thinks Sarri will end up at Chelsea, De Laurentiis added, "I do not know".
He faces a hard task at Chelsea, where a tighter transfer purse and reduced involvement from Roman Abramovich has led to reinforcements which have recently been made up of players considered to be either second or third choice targets of Conte.
As reported by the Daily Mail, Sarri will begin his time at the club by actually living at the training ground in Cobham. Juventus' Daniele Rugani, Inter Milan's Matias Vecino and Nice's Jean Seri have also been linked with the club.