The Ghanian midfielder has been with Chelsea since 2005 but has been unable to secure a regular spot in the last few seasons, and has made just five Premier League appearances this term.
He spent last term on loan with Real Madrid, working under Jose Mourinho who returned for a second spell in charge of Chelsea in the summer.
Now it appears as though he is set for a second loan spell in as many seasons, with the Mail reporting that he could be on his way to Italy to complete a loan move.
The paper adds that Essien hopes to use a loan spell away from Stamford Bridge to fine tune his game ahead of Ghana's World Cup campaign in Brazil this summer.
While Mourinho recently insisted that Essien wouldn't be allowed to leave Chelsea, his agent Fabian Piveteau revealed that a move was on the cards.
"Several major European clubs playing in the Champions League were informed and the situation should settle down within the next 10 days," he said.
'You should know that Michael was not on the list of players who can play in the Champions League with Chelsea, so he is free to play in the competition with another club.'
Chelsea look set to lose Juan Mata to Manchester United in the near future, having reportedly agreed a fee in the region of £40 million for the Spanish star.
Playmaker Kevin de Bruyne has also left to join Wolfsburg - however the Blues are reportedly close to sealing a deal for Basel ace Mohamed Salah.