He is, however, expected to be fit by the time the Blues' 2018/19 Premier League season opener comes around.
But a rumoured fall out with Conte and a persistent knee injury meant the Brazil defender barely featured last term. It was a very positive conversation so I'm very happy about it.
Spanish newspaper AS, a quoted by the Daily Star, is reporting that the new Chelsea FC boss is planning to sit down with the goalkeeper to discuss his situation at Stamford Bridge ahead of the start of the new season.
However, supporter RomaFC was left "very disappointed" by the Chelsea management's decision to offer an extension to Pedro, stating there are better youngsters already at the club.
He managed to score twice in 24 appearances, and earned a place in Gareth Southgate's England squad for the 2018 World Cup.
But the 22-year-old's immediate future depends on whether he can impress Sarri in the coming days.
Murray withdraws from Citi Open QF; will miss Toronto, too
Alex de Minaur will be Murray's quarter-final opponent after the Australian defeated South Korea's Hyeon Chung 6-7 (2), 6-4, 6-3. His task was even tougher here after Romania's Copil fought back from 5-0 down in the first-set tie-break to win it 7-5.
"I don't know him", Mourinho told beIN Sports, according to Football Italia. "I want to wait to adjudicate".
Chelsea play Manchester City in the Community Shield on Sunday (15:00 BST).
Mourinho spent over five years at Chelsea across two separate spells, winning three Premier League titles, three League Cups and one FA Cup.
The forward has been linked with a move to Manchester United and Barcelona, but Sarri said he was not concerned that his delayed arrival had anything to do with engineering a move away.
They go on to state that he is unlikely to force the issue before the window closes next Thursday, but will pursue a loan move in Europe if he is not playing regularly before August 31.