The person, who spoke to The Associated Press on Friday on condition of anonymity because the NBA has not announced the punishment, says Calathes will miss Memphis' first-round playoff series against Oklahoma City.
Yahoo Sports was the first to report the suspension.
MORE: Western Conference playoffs breakdown
Calathes, a 25-year-old rookie reserve, averaged 4.9 points and 2.9 assists in 71 games this season.
The Grizzlies take on the Thunder in Game 1 on Saturday night in Oklahoma City.