His career with Chelsea started slowly and Stubbs played just five games in his first season, without scoring. However, he scored nine goals in thirty league games in 1953–54 and in the next helped Chelsea win their first League title.
Stubbs's career with Chelsea started slowly; he made only five appearances in his debut season without scoring. However, he scored nine goals in thirty league games during the 1953–54 season and contributed to Chelsea winning their inaugural league championship in the subsequent year.