The 35-year-old is in the final months of his latest one-year deal - a contract length in line with the club's policy for players over 30 years of age - which was signed in March last year.
Terry opted to go public with a lack of talks over a fresh contract following Chelsea's 5-1 win over MK Dons, announcing he would become a free agent in Jully, but Chelsea quickly insisted nothing had been decided.
Then, after Sunday's 1-1 draw with Manchester United, Terry stated there were no ongoing discussions between himself and the managerless club, and Willian predicts the defender's time at Chelsea is up.
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"I think he would like to stay longer with us, but unfortunately it seems he won't be able to remain as a Chelsea player," Willian told Squawka.
"The club won't probably extend his contract. I can just wish him the best of luck for the rest of his career.
"He is definitely one of the greatest or maybe the greatest player of Chelsea's history. He has won everything for this club. He is respected by all of us."
Terry has spent his entire professional career at Chelsea, bar a loan spell to Nottingham Forest in 2000, racking up over 700 appearances for club.