The 26-year-old French midfielder has just one year left on his current contract with Bayern Munich, and Sky Sport Italia journalist Gianluca Di Marzio has claimed that the Serie A giants are seeking his signature.
The report claims that Massimiliano Allegri is a big admirer of Tolisso, who came close to signing for Juve in 2017, yet he opted to move to Bayern Munich from Lyon instead.
While Sassuolo's Manuel Locatelli remains their main target for the summer, Tolisso is seen as a backup option in case they are not able to sign the Italian midfielder, with Bayern Munich looking to sell the French international.
The report adds that preliminary talks have commenced between the two clubs over a possible deal being reached.
Tolisso has had plenty of injury troubles in Germany, ranging from ankle injuries to rupturing the anterior cruciate ligament a few seasons ago, which have blighted his career in the Bundesliga.
This season, a torn tendon has hindered his playing time even more, leading to him making just 24 appearances in all competitions, with him missing plenty of action in 2021.
Signing Tolisso this summer would definitely be a gamble for Juve, especially given his recent injury struggles, but he has shown in the past that he is capable of performing, making a name for himself as an all-round midfielder back in France.
Apart from this, Barcelona midfielder Miralem Pjanic has been linked with a return to the Allianz Stadium, with the Bosnian's agents trying to get a two-year loan for him after he struggled to get to grips with football under Ronald Koeman.
Juventus are looking to add to their squad following last season's disappointment, where they ended up finishing in fourth, scraping to UEFA Champions League qualification for the coming season.