 At this time, Pesut made the decision to not to join the Barons, and instead leave the NHL for the twelve team World Hockey Association where the Calgary Cowboys offered him a lucrative contract to jump professional leagues.He also saw the opportunity to play with former teammate and centreman Ron Chipperfield who also jumped from the Seals to the WHA's Cowboys, and numerous other NHLers who jumped leagues at the time, including superstars Bobby Hull and Anders Hedberg who were toiling with the Winnipeg Jets.Wearing #2, Pesut logged 17 games for two goals and two total points before injury put him on the sidelines.