Jerome competed at the university level for Bill Bowerman at the University of Oregon. He was a member of the Canadian track and field team at the 1960, 1964, and 1968 Summer Olympics, winning 100 metre bronze in 1964. Jerome wore his University of Oregon sweats, rather than the contemporary practice of an official national outfit for all Olympic appearances, to warm up for the Olympic 100 metres in Tokyo. He won the gold in the 1966 British Empire and Commonwealth Games and the 1967 Pan American Games.
Jerome received a bachelor's degree in physical education from the University of Oregon in 1964 and taught with the Richmond School Board (1964–65) and then with the Vancouver School Board (1965–68). In 1968, he received a master's in physical education from Oregon.