The Daily Mail says Sarri is facing a fight to convince the club's hierarchy that he has a long-term future at Stamford Bridge after Sunday's humiliating 6-0 loss at Manchester City, their worst ever Premier League defeat.
Lead director Marina Granovskaia — at least in the short-term — is believed to be ready to persist with Sarri. She orchestrated his appointment as Antonio Conte's replacement last summer, with owner Roman Abramovich more distant after being refused a visa by the UK government.
Granovskaia will look to provide her appointment with an opportunity to be a success, particularly with Abramovich leaving the majority of the running of the club to her.
But amid a backlash from supporters on social media, the club face a daunting run of fixtures, including the Carabao Cup Final against Pep Guardiola's City at Wembley later this month.