Berkeley Homes, which won approval to develop the site, previously said there would be an opportunity for up to 12 traders to relocate to a temporary nearby location while the scheme is under construction.
According to Southwark Council planning documents, Berkeley Homes has committed to providing the remaining stall holders with a relocation package.
The proposals also include a new office block, flexible café or retail space and a new community centre which is expected to be occupied by a Latin American group. The project would also deliver 1,780 square metres of public space.
The development will include 35% affordable housing, in line with the council’s policy.