The Brazil international has been a long-term target for Spurs chairman Daniel Levy.
AVB said: "There are many good players out there, we're happy, but we follow obviously the best players and talents and Leandro Damiao fits the profile.
"Leandro was spectacular in the Olympics but there are also other interesting players. We'll keep track of his progress, but he had an injury after the Olympics and has not played very often. If he is within reach, he would always be on our list."