BJ Kissel of the Chiefs' official site shared photos of Vick working with the team:
Last month, Vick said on Schefter's podcast, Know Them From Adam, that he wanted to enter the coaching ranks with his playing career concluded.
"I would love to coach in the National Football League one day," the four-time Pro Bowler said. "At some point, I'd definitely love to help work with young quarterbacks and develop them and still compete, you know, with the team and with the coaches."
Reid coached Vick for four of his five years playing with the Philadelphia Eagles.
Vick spoke highly of Reid in a 2013 interview with NJ Advance Media's Jordan Raanan.
"[Reid will] go down in my book as one of the greatest coaches of all time and one of the greatest men I've ever met," he said.
During his discussion with Schefter, Vick said he saw coaching as a way to continue his quest for the Super Bowl title that eluded him as a player. He added that he was willing to let his coaching career "happen naturally."