Chiesa is almost three quarters of the way through a two-year loan deal in Turin, Juventus obligated to complete a permanent transfer at the end of the season.
However, while the Serie A giants could pay up to €60m (£51m) for the Italy international once add-ons are included, it appears that they are already open to a future sale with Chelsea allegedly holding an interest.
According to Calciomercato, Juventus are willing to offload the 24-year-old for the same price as they look to balance the books in 2022.
The report adds that Juventus also want to use the money initially allocated to the Chiesa deal to strengthen other areas of the squad.
Chiesa, who helped his country win Euro 2020 earlier this year, has contributed a total of 17 goals and 13 assists during his 59 appearances for Juve in all competitions.