Carter, 46, who has two seasons left on his contract with the Sixers, was given permission to talk to the Timberwolves.
A Mount St. Mary's alum, Carter played for the Bullets in 1969-72 and later was an assistant coach with the National Basketball Association team. He also was an assistant with the Atlanta Hawks and Chicago Bulls.
The Timberwolves fired coach Bill Musselman after their season. Along with Carter, the Wolves are considering former Boston Celtics coach Jimmy Rodgers and current Golden State Warriors assistant Garry St. Jean.
There also have been published reports that, once Detroit is finished with postseason play, the Wolves will request permission to interview Pistons assistant Brendan Suhr.
Wolves president Bob Stein said the club will act deliberately before naming a coach.