Weeks turned pro in 1980, and spent the majority of the 1980–81 season with the New Haven Nighthawks of the American Hockey League (AHL), where he posted a 14–17–3 record with a 4.13 GAA and a shutout in 36 games with the team. Weeks made his NHL debut on April 2, 1981, holding the powerful New York Islanders to only two goals in a 2–1 loss. Weeks also appeared in a playoff game with the Rangers, allowing no goals in 14 minutes of ice time.