The scheme is part of a wider regeneration project that will rejuvenate the much-maligned Aylesbury Estate, one of Europe's biggest housing estates.
As part of the first phase of the revamp, the centre will be surrounded by around 260 new houses, although an architect for this project is yet to be appointed.
Southwark Council is currently visiting the tenants of the estate ahead of its demolition, which will take place over the next 15 years.
Southwark Council's Richard Thomas, executive member for regeneration, said: 'This is another great step towards turning the new vision for the Aylesbury area into reality. The transformation will be a fantastic one, and I am pleased that so many residents are helping us drive things forward.'