Former Real Madrid boss Julen Lopetegui is keen on the Chelsea job.
Maurizio Sarri, 60, led the Blues to a third-place finish and to next week's Europa League Final with Arsenal – but the Baku showdown with the Gunners may well be his final match in charge.
The Times says Spaniard Lopetegui has thrown his hat into the ring if the job is going.
The 52-year-old has been out of work since October when he was sacked for the second time within six months.
He had only been in charge of the Galacticos for 14 matches before a 5-1 mauling at the hands of Barcelona proved to be the final straw for the Bernabeu board.