The club captain has just made his first appearance of an injury-hit season.
Davide Lippi told TMW: “His renewal will be official only when the club announces it.
“Then, between us, I don't think there will be any problems. Giorgio's will is to go ahead and play as long as he is well and until he feels important.
“His injury has allowed him to work a lot alone, on Sunday he surprised us all with his return to the field early.
“I didn't even know he would play, to tell you the truth.
“However when Chiellini puts something in his head there is no way to stop him!"