Gunn has not been signed yet with the Bravo network for the upcoming season, the New York Daily News reported.
Gunn's duties as chair of the fashion design department at Parsons The New School of Design may make him unavailable for television gigs during the academic year. Previous "Project Runway" seasons have been filmed when Parsons' semesters had already ended.
Sarah Rothman, a spokeswoman for The Weinstein Company, "Runway's" producer, told the News: "As we have in past seasons, we will find a way to work around everyone's schedules."
The News said Gunn has arguably become "the breakout star on Bravo's top-rated show." His key phrase -- "Make it work" -- has become part of the television lexicon.
NBC reportedly holds celebs hostage to Jimmy Fallon's show
Ray Liotta sues skin care company over use of likeness