The Super Lig holder agreed a fee with Inter to engage in talks with the Netherlands international earlier in the week, and the sporting director admits that his side expect to announce the midfielder's arrival soon.
"Sneijder transfer is one of great interest, especially the president's. All that is left is for the player to agree to the move," Albayrak told Sporx. "His wages are too high for Inter, and right now, it is most likely that the player will accept our terms."
"He is thinking about giving us an answer this evening. Perhaps he has yet to talk to other clubs, but Inter have agreed a deal with us for a fraction of his market value."
However, Albayrak stopped short of giving the transfer his seal of approval, adding: "There is no signature without the agreement so I cannot say much more.
"I've got to be very cautious and represent my club's interests."