The scheme will look to utilise the Eltham Baths site in Greenwich, south-east London, by providing new housing and relocating the existing swimming pool to another site nearby.
The six practices were whittled down from 49 initial expressions of interest, selected by a jury panel which was looking for architects most capable of helping Ujima deliver its project by an innovative urban scheme that will enhance the public realm.
Panel member and Ujima development consultant Malcolm Gardner said: 'We are very much looking forward to seeing the varied, but wholly sustainable, design solutions that the shortlisted teams propose for this site.'
The final six teams will present their schemes to the jury panel when they meet to select a winner in mid-June.
The winner will be commissioned to develop its design proposal up to and including the planning application; Ujima then intends to enter into a fixed-price Design and Build contract.