Internacional reportedly rejected a £15m bid from the Serie A side on Wednesday, but comments from the club's president Giovanni Luigi suggest that that was wide of the mark.
"No-one from Napoli has spoken with me and I do not know if they are talking to his agent," Luigi told Radio CRC. "But if I like a football player, I'm going to talk to his club and not with the agent.
"For me there is no negotiation started for Damiao with Napoli, this must be a guess because, I repeat, Napoli have not mentioned this interest either now or in the past.
"How much is he worth? I do not know if I'm going to sell. He should remain here. I believe the player will be here for at least another year."
Damiao has also been linked with Tottenham Hotspur this summer.