Beveridge played several years of senior hockey with the local Shamrocks and New Edinburghs before he reached the NHL. He debuted with the Detroit Cougars in 1929-30 and toiled admirably on a weak club that missed the playoffs. The next year he joined the Ottawa Senators but was assigned to the minors since the parent club still had Alex Connell. Beveridge excelled for the Providence Reds in 1931-32 and led the Can-Am League with 23 wins.

The talented backstopper joined the Senators in 1932-33 but the team was weakened by financial woes caused by the Depression. Beveridge recorded five shutouts and was often the only solid performer for the last place team. During each of the next two seasons he led the NHL with 48 appearances. The first came in Ottawa and the second with the same team after it was reincarnated as the St. Louis Eagles. The location and uniforms changed, but the club continued to languish in the basement.

Prior to the 1935-36 season, Beveridge joined the defending Stanley Cup champion Montreal Maroons. He played the bulk of the games as the club finished first in the Canadian Division but the team went with Lorne Chabot in the playoffs. Beveridge only played 21 games in 1936-37 but worked all 48 matches the next year. Unfortunately for him, the extra work came behind a badly weakened Maroons squad. Beveridge played four years in the minors before returning to play 17 games for the last place New York Rangers in 1942-43, the first year of the Original Six era. He tended goal in a few games for the senior Ottawa Commandos during World War II then retired in 1945.

Courtesy of the Hockey Hall of Fame