Resident graduate students at Corpus are based in and around the Leckhampton House estate, situated just off Grange Road. It is very close to the University Library and around ten minutes walk from the city centre and the main College site.

Leckhampton has attracted graduates from many parts of the world as well as from the College itself. The George Thomson building, completed in 1964, has been widely acclaimed as one of the best Collegiate buildings to be erected since the war. Its dining room by the same architect, Philip Dowson of Ove Arup and Partners, which opened in 1969, cleverly blends the old with the new.

Accommodation at Leckhampton is also a mixture of old and new, set amidst large, beautiful gardens, next to the College's sports grounds. Leckhampton has its own library, computer room, and bar; in fact it offers every facility and opportunity required to provide a friendly and stimulating home for graduates from all over the world.