The Ghana international is desperate to stay at the Bianconeri and grab a third successive Scudetto
The Bianconeri celebrated back-to-back league crowns after finishing nine points clear of second-placed Napoli last season.
Asamoah has sent a word of warning to Juve's domestic rivals suggesting the summer signings of forwards Carlos Tevez and Fernando Llorente from Manchester City and Athletic Bilbao respectively, have further strengthened Conte's squad.
"I am convinced Juve are getting stronger," he told Tuttosport. "The third successive title is what we want. "I am desperate to stay at Juve and play next season."
The 24-year-old featured on 27 occasions in Serie A last season, contributing two goals and eight assists.