Dimmock married BBC continuity announcer and What's My Line? panellist Polly Elwes. Elwes died on 15 July 1987 from bone cancer.
Dimmock tied the knot with a BBC continuity announcer and a regular on the popular quiz show What's My Line?, Polly Elwes, who ultimately lost her fight against bone cancer on 15 July 1987.