The Chilean international has made 17 league appearances in La Liga this season - and just nine of those have been starts.
The return of David Villa from injury has limited his first-team opportunities, and an early season goal drought didn't help.
The 24-year-old has scored just one La Liga goal this term - Leo Messi, Villa, Christian Tello and Pedro all have more, and have been preferred to the former-Udinese star in the Barcelona starting lineup.
Liverpool were linked with the winger earlier this season, but the report claims Juventus are now keen to bring him back to Serie 'A'.
Sanchez's international colleague and friend Arturo Vidal currently plays for the defending Italian champions, and could be a key factor in Sanchez's decision over his future.
The report claims Sanchez helped Vidal to settle in Italy when the latter moved to Juventus in 2011. At that stage, Sanchez was still at Udinese and wanted by most of Europe's top clubs.
Brendan Rodgers has reportedly monitored the Chilean's availability, and the Liverpool boss has ties with Barcelona - Rodgers spent time at the Nou Camp studying their tactics and training methods.
But the Reds are struggling to qualify for European competition this season and lie eighth in the Premier League table, whereas Juventus currently sit at the top of the Serie 'A' standings.