The New York Times' Marc Stein confirmed the Suns were flying Woodson to the desert to speak about a job as the top assistant on Kokoskov's staff.
The move, if finalized, would provide Kokoskov with a seasoned, defensive-minded resource as he prepares for his first season at the helm.
Woodson, 60, spent the last four years as an assistant on Doc Rivers' staff. However, ESPN.com's Adrian Wojnarowski reported May 15 that Woodson was not going to return to the Clippers next season.
Prior to his time in Southern California, Woodson spent two years and change as the Knicks' head coach. All told, he posted a record of 109-79, including a 53-29 mark during the 2009-10 campaign.