Benitez's current contract expires at the end of the month, and since he hasn't yet signed an extension, Chelsea are looking to move in.
Talks between Benitez and club owner Roman Abramovich have already begun, as the Blues want to quickly replace the Turin-bound Sarri, as per Italian outlet Tuttosport.
Sarri used to coach Empoli and the Serie A side's president, Corsi, has opened up on his contact with the still Chelsea manager.
According to The Sun, the Portuguese tactician would "seriously consider" taking up the reigns at Stamford Bridge once more, after being out of management since his ignominious sacking from Manchester United last December.
And it's the 40-year-old's success with young players which is thought to appeal to Chelsea, who are now under a transfer embargo which will prevent them from signing new players.
The problem, however, are his previous comments on the Blues during his time with Liverpool.More news: Oil steadies above $62 as OPEC cuts counter growth concerns
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The Spanish Manager earlier had a brief experience with Chelsea in 2012 after he replaced Robert Di Matteo, while he got sacked, which earlier did not go well with the sentiments of the Chelsea fans.
However, Chelsea chiefs are reportedly making last-minute moves to ensure Sarri reconsiders his stand, after guiding the west London dwellers to a third-place finish in the Premier League alongside winning the Europa League. "Or are you going to go with someone who the fans are going to love to have back?"
Lampard's success at Derby was achieved with a team of young players on loan from Premier League clubs.
"I think he has done a good job", said the BT Sport pundit.