Asamoah who still has a running contract with the Italian Champions until 2018 could pen a new deal which would see him at the Club until 2021.
The midfielder was on the verged of leaving the Club in the summer transfer window after returning from a long-term injury.
Reports indicate Juventus boss Massimiliano Allegri has asked the Club to sign a new three-year deal with the 27-year-old.
The player has been instrumental for the Old Lady since the beginning of the season.
The former Udinese man was recently regarded as the highest Ghanaian earner in the Serie A.