Brekke played his college hockey at Western Michigan for Bill Wilkinson. He played for years for the Broncos, serving as an alternate captain in his junior season. After being named team captain for his senior season, Brekke helped Western Michigan to a 24-win season, the third-highest win total in program history (as of 2019), and reach the NCAA Tournament for only the second time. After graduating with a degree in marketing Brekke embarked on a two-year professional career, splitting time between the AHL and ECHL affiliates of the Quebec Nordiques/Colorado Avalanche, the team that had drafted him in 1991.