Manager Carlo Ancelotti accepted responsibility for Chelsea's dramatic slump after the 3-1 drubbing by Arsenal heaped further pressure on the Italian.
The champions have slipped from top of the Barclays Premier League to fourth place after going six matches without victory in the competition.
Ancelotti's position is now under intense scrutiny but he insisted he does not fear for his job.
"I don't know (how long owner Roman Abramovich will remain patient). Obviously he won't be happy at this moment," he said. "I will take my responsibility but this is a question you have to ask him, not me.
"I'm not afraid about my job. Everyone said I did a fantastic job last year. Now people are asking me about my job.
"We have to do better, obviously. It's not usual that Chelsea can't win for six games."