The report states that Toure is close to agreeing a new 12-month contract at Liverpool keeping him at the Merseyside club until July.
The Ivory Coast international has only made 44 appearances for Liverpool since joining in 2013.
Toure has been on the bench for the Reds last four games and has stated that he wants first team football next season.
“It’s a difficult decision because since I’ve been here things have been good. I’ve really enjoyed it, even though it’s difficult when you don’t play a lot. I’m a competitor and I want to play more,” he added.
Trabzonspor are still reported to be interested in Toure and he would be expected to play more regularly with the Black Sea Storm.
The Süper Lig outfit are currently fifth in the league, just one point behind fourth placed Başakşehir.