Vogel, 45, previously coached the Orlando Magic and Indiana Pacers. He met with the Lakers Thursday.
Vogel previously worked for the Lakers as an advance scout during the 2005-2006 season.
ESPN is also reporting Jason Kidd has agreed to a deal to become an assistant under Vogel.
The Lakers are coming off a 37-45 season and missed out on the playoffs for the sixth consecutive year. They parted ways with previous coach Luke Walton after three seasons.