Spurs boss Andre Villas-Boas has made no secret of his admiration for the Internacional frontman and has long been linked with a move for his signature.
The 23-year-old is contracted at the Brazilian club until 2015 but his agent, Vinicius Prates, is not ruling out him making a European switch.
However, Prates is unsure whether clubs will follow up their interest this month due to the nature of the market.
He told Zero Hora: "European clubs are paying attention.
"I think a big European club will come. But, on the other hand, in January - their winter, our summer - the clubs don't invest much. The big signings are made in the mid-year window, in August."
Asked about Tottenham's reported interest, Prates added: "While Leandro Damiao stays at Internacional, Tottenham will always be interested.
"Andre Villas-Boas has liked him since he was Chelsea's manager."
Prates says Damiao is happy at Internacional and intends to stay until the World Cup in 2014, but admits a move is a possibility.
Asked if the striker will leave, he said: "I can't say, the market changes a lot. But the project is to stay until the World Cup.
"Leandro Damiao is doing well at Internacional, he is happy there."