Spurs are keen to strengthen their team ahead of their upcoming Champions League campaign while Liverpool have long been linked with a move for the Turkey international.
The 23-year-old has previously admitted he would be keen on a move to Liverpool.
“Of course I want to play abroad but it is our board’s decision,” said the 23-year-old several months ago.
“As I always mention, Liverpool attracts me because of their tradition.
“In Europe, I am a Liverpool supporter, so if I go to play in Europe, I would like to play for them.”
Turan added on UEFA.com: “My dream has always been to play for one of the top European clubs, but you shouldn’t make concrete plans in your life because sometimes these plans cannot be achieved.
“This is my dream, but for now I’m just working on my football.”