The Spain international, who has been left out of the Welsh club's tour of the United States, is a target for Rafael Benitez's side, with both a loan or permanent move possibleSwansea City is in talks with Napoli over the transfer of forward Michu, according to chairman Huw Jenkins.
The Spaniard has been strongly linked with a move away from the Liberty Stadium in recent weeks and did not travel to the United States for the club's preseason tour.
Jenkins has now revealed talks have taken place regarding a potential switch to Serie A.
"Napoli have inquired about Michu and we have been talking to them and to Michu's agent," he is quoted as saying by the South Wales Evening Post.
"But there are other options and nothing is finalized yet."
When asked whether the talks involved a loan or permanent deal, Jenkins added: "We are discussing various options."
Michu arrived in south Wales for a fee of 2.8 million euros from Rayo Vallecano in 2012 and scored 18 Premier League goals in his first season.
However, the 28-year-old endured an injury-plagued 2013-14 campaign, making just 15 top-flight starts.