Norris was selected by the
Portland Trail Blazers in the second round of the
1982 NBA draft with the 37th overall pick of the draft. In three seasons with the Trail Blazers in the NBA, he averaged 4.4 points, 3.1 rebounds, and 0.8 assists per game. After that, Norris moved to Europe, to continue playing professional basketball. After he left the NBA, Norris spent the two seasons playing in the
Italian League, with
Benetton Treviso. He was an
Italian League All-Star in 1986. He then spent the next six seasons of his career in the
Spanish League with
FC Barcelona. While with Barcelona, Norris played on one of the best teams in Europe at that time. Some of his teammates with the club included
"Epi",
Nacho Solozábal,
Andrés Jiménez, and
Chicho Sibilio. With Barcelona, Norris won three
Spanish League championships (
1988,
1989, and
1990), two
Spanish King's Cup titles (
1988 and
1991), the
Spanish Super Cup title (1987), the second-tier
Spanish Prince's Cup title (1988), and the
Catalan League title (
1989). With Barcelona, he also played in three straight
EuroLeague Final Fours (
1989,
1990, and
1991), where he also made the
EuroLeague Finals in consecutive years (1990 and 1991). He was a two-time
Spanish League All-Star (1988 and 1990), and he was also voted to the 1991
EuroLeague All-Final Four Team. Norris finished his
club career playing in the
Greek League. He played with
Peristeri Athens, during the 1993–94 season. In total, Norris played 12 seasons as a professional basketball player. ==Coaching career==