It means that the London side have only won one league game in their last six, five places worse off than they were after 17 games last season.
But The Sun have reported that the Blues boss would still be taking something hefty home from his stint at Stamford Bridge.
Lampard has 18 months left on his current Chelsea deal, which sees him receive £77,000 per week.
And this would mean there is still £3million left, which Abramovich would have to pay out.
While it would leave a bitter taste in the manager’s mouth, it would also leave the Russian’s wallet feeling a lot lighter when it comes to paying Blues bosses off.
The owner had seen 11 managers take the helm at Stamford Bridge and leave it since buying the club from Ken Bates in 2003.
But only one of them has been able to leave on their own terms, with Maurizio Sarri departing in June 2019 for his dream job at Juventus.
All of the other managers, including three-time league winner Jose Mourinho, have been paid off.
The biggest single fee went to Antonio Conte as the Blues had to pay £9m in compensation, which rose to £26.6m when his backroom staff were also cut.
While Mourinho picked up £31.4m over his two spells at the west London side.
This makes a total expenditure of £110.5m on sacking managers by Abramovich, which wouldd rise to £113.5m if Lampard is shown the door.
It comes as Chelsea’s history with managers saw Roy Keane send a warning to Lampard.