The 24-year old has been linked with a host of Premier League clubs this summer, including Tottenham, Arsenal and Southampton, with Brendan Rodgers' side suggested to be the latest to show an interest.
Spurs and Southampton are both reported to have previously been in unsuccessful talks with Damiao, and he says it will have to be a substantial offer to tempt him into a move away.
"The first time I was sounded out, I was happy, but I have to overcome that now - I am focused on Internacional - it has to be a good offer for me and the club," he told UOL.
"A lot was said. I am calm, nothing has come and I am still focused on Internacional and in the Brazilian Cup.
"If a very good offer comes, then maybe it could happen."
Internacional president Giovanni Luigi also spoke about the striker's future, insisting that the club had not received any recent bids.
"There have been no contacts in the last 15 days, not even speculation," said Luigi.
"Many times an agent comes and tries to make conversation between the clubs but we haven't even had that.
"Everything indicates that Leandro Damiao will stay."