The 22-year-old Internacional forward has been linked with a number of high-profile European clubs, including Spurs, Juventus and Real Madrid.
But Tottenham were the only club to make an official offer and the striker would like to stay with his present team until 2014.
He told Sportv: "I'm glad for the interest and for the enquiries, but the only official offer was made by Tottenham.
"If there are other offers, we'll talk, but for now I'm not worried."
About playing for his present club, he added: "Inter[nacional] give all the best conditions for our work.
"I'm in a great moment right now and I intend to stay at Internacional until 2014 unless there is a good offer that is good for Internacional, not only for me."
Damiao believes he needs a regular run of games both for his club and country after recently returning from injury.
"I need a sequence," he said. "I got injured and missed some games. I only returned recently, but I've been improving. I had a much better performance against Argentina."
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