Norris ran the No. 32 Jani-King Chevrolet Silverado for Matt Stowe in three 2001 races. His best finish of the season was a 17th at Texas. In the fall, a 23rd at California Speedway was the first time that Norris ran at a track other than Texas since 1997. He finished fifth in the standings in the West Series, but did not win another race. He won the championship by 119 points in 2002, winning twice and finishing in the top ten for every race during the season.