The North Londoners had reportedly made a renewed bid for the 23-year-old Brazilian, but Luigi insists that it will take an "extraordinary offer" to prise Damiao away from the club.
"There isn't any Tottenham representative here, and nothing is scheduled," Luigi told Globo Esporte.
"The ones that have been coming here are agents. Leandro Damiao was top scorer in the Olympics. I have nothing scheduled with Tottenham.
"Internacional want to keep Leandro Damiao. He'll leave only if there is an extraordinary offer."
Luigi has previously stated that Damiao would cost any potential suitors £47m.