According to an ESPN report, Brown, who is currently working as an assistant to the Golden State Warriors, is supposed to sign a contract for four years in the Sacramento Kings.
The 52 -year -old Brown trained the Cavaliers twice in his career and the Los Angeles Lakers.
He has been an assistant to Steve Kerr for the Warriors for several years.
The Kings have been waiting for a play-off participation in the NBA since 2006.
They completed the past regular season as twelfth of the Western Conference with 30 wins.