TalkSPORT says the manager's relationship with the club's powerbrokers is at breaking point and he was left disappointed with the jeers from fans after Tuesday night's 2-2 draw with Bournemouth.
A crisis meeting is to be held today - New Year's Day - between Maresca and sporting directors Lawrence Stewart and Paul Winstanley over the situation.
The Italian feels a lack of support from the club's top brass and Maresca could agree to leave as early as after today's summit.
Indeed, the Guardian says with co-owner Behdad Eghbali also sitting in on today's crisis talks, there is a belief Maresca will have left Chelsea by the end of the day.
The report goes onto say plans are already being drawn up for who will act as caretaker manager for Sunday's clash at Manchester City.
The big sticking point for Eghbali and co will be Maresca's payoff, with his deal running to 2029.