The Turkish sports newspaper claims that Antalyaspor will enter talks with the Blues defender in an attempt to bring him over to Turkey.
Antalyaspor were promoted last season but have embarked on an ambitious project bringing in experienced players such as former Chelsea striker Samuel Eto’o and opening a new state of the art stadium – the Antalya Arena.
The Antalya Arena is a 33,000 seater stadium and the first sporting venue to be solar powered in Turkey.
Terry has featured regularly in the Premier League for the Blues this season but will become a free agent at the end of the season.
The England international has won four Premier League titles, five FA Cup trophies, the Champions League and the Europa League.
Antalyaspor are currently eight in the Turkish Super League with 14 points after nine games and take on Akhisar next.