MB ChB Manch 1960; MRCP Lond 1965.
Asquith held house appointments at MRI and Queen Elizabeth Hospital Birmingham. He was a fellow of Manchester Medical Society . He later became senior registrar at General Hospital Birmingham, Hon Senior Lecturer at the University of Birmingham, Consultant in Clinical Immunology for Birmingham Central Health District and Consultant Physician East Birmingham Hospital. Asquith was a member of the British Society of Gastroenterology and of the British Society of Immunology.