Jose Mourinho will be clinging to his job if Chelsea lose to Liverpool on Saturday.
The Stamford Bridge club on Sunday insisted the Blues boss still enjoyed their support despite a fifth league defeat of the season.
Owner Roman Abramovich is believed to have been out of the country this weekend celebrating his birthday.
But the Chelsea hierarchy are said to be increasingly concerned about the conduct of the manager, following his dismissal at West Ham.
The FA will wait to receive referee Jon Moss’ report of his half-time confrontation with the Portguese before deciding upon further action.
Mourinho will be on the bench for Tuesday’s Capital One Cup game at Stoke and then it’s a lunchtime showdown with Liverpool at the Bridge on Saturday.
In pictures – West Ham 2-1 Chelsea:
Should he be axed, ex-bosses Carlo Ancelotti and Guus Hiddink are immediately available.
Former Chelsea star Frank Leboeuf said: “I’d like to see him stay – anyone can have a poor season. I hope he will do better next season if he stays.”