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 early career at Chelsea was uneventful; he played just five games in his first season without scoring. However, he scored nine goals in thirty league matches during the 1953–54 season and helped Chelsea win their first league championship the following year.