Agent Joao Santos confirmed that Sarri would like to take the Italy international to Turin, but revealed that the main interest in Jorginho has come from non-Italian clubs.
"If you ask me if Sarri likes Jorginho, I'd say 'yes' due to their history," Santos told Radio Musica Television.
"I can't say anything about the transfer market as I'm not in touch with anyone right now.
"Jorginho still has three years left on his contract and is doing well at Chelsea, but if a big enough offer comes in then a deal could go through. In this sense, two top European clubs, not Italian ones, contacted me."
Jorginho has established himself as a key player under Frank Lampard this season, scoring seven goals in 37 appearances.