The Togo international has been linked with an exit from White Hart Lane and the Turkish club are one of the top suitors for the 29-year-old's signature.
"It is certainly true that we are looking at the idea of a transfer," Piper is quoted as saying by Turkish website Fanatik. "We have made a serious bid for Adebayor.
"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."
Adebayor scored just eight goals for Spurs in all competitions last season.