The 29-year-old scored just five goals in 25 Premier League appearances last season and is the subject of a 'serious bid' from the Turkish club
The 29-year-old joined Andre Villas-Boas' side on a permanent deal from Manchester City in August 2012 after impressing during a season-long loan spell at White Hart Lane.
But the former Arsenal player struggled for form last season, hitting just five goals in 25 Premier League appearances, and now Besiktas claim to have made a substantial offer for the forward.
"It is certainly true that we are looking at the idea of a transfer. We have made a serious bid for Adebayor," Kavalci told Fanatik.
"That, in turn, has given us a figure for the player, which is slightly above the amount that we imagined.
"However, making a signing as big as this immediately is nothing but a dream.
"Negotiations always take a long time. I hope that we will get a chance to have a meeting soon."