In total, he had a 9-18 win–loss record with a 3.82 earned run average in 81 appearances (27 starts) with a complete game and three saves.
[2] Bjornson served as a minor league pitching coach for the Spokane Indians in 2002 (Royals), the Vermont Lake Monsters in 2003 (Expos) and 2005 (Nationals), the Brevard County Manatees in 2004 (Expos), the Ogden Raptors in 2007 and 2008 (Dodgers), and the Casper Ghosts from 2009 through 2011 (Rockies).
From 2000 through 2003, he coached for the Occidente Pastora de los Llanos of the Venezuelan Winter League.
[2] Following the hiring of Bo Porter as manager for the 2013 season, Bjornson was reassigned as a roving pitching instructor and replaced as bullpen coach by Dennis Martínez.
[4] Bjornson served as the bullpen coach for the Astros during the 2017 season, when they won their first World Series title.