Blake was selected 70th overall in the 1988 NHL Entry Draft by the Los Angeles Kings. He had completed his freshman year with Bowling Green State University of the Central Collegiate Hockey Association (CCHA) when he was drafted and went on to play three years total in the college ranks, earning CCHA and NCAA West First All-Star Team honours in 1990. Blake was also the first player to ever receive the CCHA Best Offensive Defenseman award. Foregoing his final season of college eligibility, Blake joined the Kings for the final four games of the 1989–90 season before scoring 46 points in his NHL rookie campaign in 1990–91 to be named to the NHL All-Rookie Team.