The 29-year-old defenseman has been eligible to sign an extension since July 1. He is going into the final season of a seven-year, $28 million contract he signed June 10, 2013, and can become an unrestricted free agent July 1, 2020.
"I've never made it a secret, I'd like to stay in Nashville," Josi told the Naples Daily News at Belfry Hockey camp in Estero, Florida, this week. "I think we're talking a little bit over the summer. I let my agent deal with that, I just focus on getting ready."
Josi had 56 points (15 goals, 41 assists) in 82 regular-season games last season and four points (two goals, two assists) in six Stanley Cup Playoff games.
Predators general manager David Poile said after Nashville lost to the Dallas Stars in the Western Conference First Round that an extension for Josi was high on his offseason list of priorities.