The London-based architect has won planning permission for the Kingston-upon-Thames project, and the scheme is due to start on site in late spring.
Increasing costs and planning concerns have resulted in the original plans for car parking being axed and replaced by provision for bicycles and scooters.
According to the architect, the building's design is based on a collection of interconnecting boxes which appear to 'float' on a 'glazed plinth' of retail space.
The mixed-use project is next to the Grade II-listed Gala Bingo Hall on Richmond Road in Kingston, and will include 31 flats.
The client is Fulham Investments.