The Italy international has established himself as a key man at Stamford Bridge since his arrival in 2018, making a total of 170 appearances in all competitions as well as winning the Europa League and Champions League.
However, Jorginho, now 30 years of age, has just 17 months remaining on his contract, and it remains to be seen whether he will want to return to his homeland in the future.
According to Gazzetta dello Sport, Juventus are monitoring the situation ahead of making an approach for the player during the summer window.
While the Serie A giants must first offload a number of players in the same positions, they are already attempting to reduce their numbers, potentially freeing up space for Jorginho to move to Turin.
With Jorginho just five months short of his 32nd birthday when his current deal expires, Chelsea's policy will almost certainly result in the player only being offered a 12-month extension in the future.