NTV Spor says Spurs are one of three clubs who hold a strong interest in Cakir.
Trabzonspor want around £17.2million (€20m) for Cakir, as well as a 25 per cent sell-on clause for any future transfer.
The report says Trabzonspor will not accept a fee lower than their asking price.
The club's president Ahmet Agaoglu insists the club offering the highest amount will be where Cakir ends up.
“He is arguably the best goalkeeper in Turkey," Agaoglu said.
“He needs to go to the best club that pays the most. No player steps out of the door of Trabzonspor Club without finding his value."
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