Though how Sarri's £5million compensation will be paid has contributed to the hold-up with Juventus keen to avoid it while Chelsea insistent they want it covered.
Lampard's Derby County squad failed to gain promotion after a thrilling finish to their season, which saw them face defeat at Wembley in the play-off final against Aston Villa.
Former Chelsea assistant boss and current England No.2 Steve Holland comes next in the betting at 11/1 (+1100) along with much admired Watford manager Javi Gracia, who has impressed many with the work he has done at Vicarage Road.
"He is the flawless choice", he told The Mirror .
"No disrespect to [Massimiliano] Allegri and what he's done at Juventus but they have had Carlo Ancelotti, they have had Antonio Conte, Sarri, Jose Mourinho, all managers who have done great things and never stuck with them". "I will actually be surprised if they look elsewhere".
The Blues are said to be pursuing a tactician who can deliver Champions League football even if the clubs transfer ban by FIFA remains in place.
"They have tried with all these great managers". He trained the younger kids at the club. And keep blowing money away with these managers who you have to pay up after two years? "Or are you going to go with someone who the fans are going to love to have back?"
It has been a turbulent season for Sarri as he has fallen foul of the Chelsea crowd, had on-pitch arguments with his players and been accused of being tactically incapable due to his refusal to deviate from his "Sarri-ball" approach.
"His first season under mad pressure at Derby, he played all the kids".
"He invigorates not only the first team and the fans but the kids coming through".