Dye made his professional ice hockey debut in the 1919–20 season with the Toronto St. Patricks of the NHL. A slow skater, Dye was known for his hard and accurate shot. He played with the St. Pats for eight seasons, leading the league in goals scored in the 1920–21, 1922–23, and 1924–25 seasons, leading the league in scoring in 1923 and 1925, and finishing second in goals scored in 1921–22 and 1923–24. When the Quebec Bulldogs moved to Hamilton in 1920 to become the Hamilton Tigers, Dye was loaned to the team for their first game; a native of Hamilton and a former star in the amateur OHA, it was hoped he would boost the attendance, as he was familiar to spectators.