He was drafted by the Edmonton Oilers in the fourth round of the 1986 NHL Entry Draft and joined their American Hockey League minor league affiliate Cape Breton Oilers at the end of the 1987–88 season. He spent the next five seasons in the Oilers' organization, but only played in 17 games for the NHL team. Currie signed with the Los Angeles Kings for the 1993-94 season, but only played in five games for the Kings that season. He spent most of that year and the next four seasons in the International Hockey League.