Sportmediaset says the Blues are considering axing Maurizio Sarri - and giving assistant Zola the job on a caretaker basis for the rest of the season.
Former Napoli boss Sarri is yet to find out if he will be fired.
Zola could steady the ship until the end of the season before a big name appointment is made.
Chelsea have history when it comes to putting former players in charge in a caretaker capacity.
Roberto Di Matteo took over on an interim basis seven years ago and famously guided the club to a historic European Cup triumph in 2012.