The 23-year-old, who has scored four goals in three games for Brazil at the Olympics, has been linked with a host of European clubs after impressing for the 2010 Copa Libertadores winners.
"There has been no offer from Tottenham but there were offers that he didn't accept," he told Radio Gaucha.
"We are waiting for him to return before we decide what we are going to do. He is with Inter, but we are braced for any eventuality."
Damiao is expected to start when Brazil face South Korea in the Olympic semi-finals on Tuesday.