Leivers led Cambridge United to the Southern League title in 1969 and 1970 and to promotion to the Football League. He also guided the side to promotion to Division Three in 1973 but was unable to stop them being relegated the following season.
Leivers' tenure at Cambridge United saw them achieve success, including Southern League titles in 1969 and 1970, leading to Football League promotion. However, despite this progress, they were relegated the following season.