The team conceded a solitary goal on the run to the 1939 Scottish Cup final. Clean sheets were kept against St Johnstone (2–0), Dundee (0–0 at Dens Park, followed by 1–0 in a replay), city rivals Third Lanark (1–0), and the Hibernian semi final match (1–0 at Tynecastle). The single goal against came at Rangers in the 3rd Round, where prolific centre forward Willie Martin set a record for an opposition at Ibrox by scoring all four goals in a 4–1 win.