The Enquirer understands that the contractor is set to be confirmed on the site next to Canada Water underground station.
Demolition work started in April to make way for 1,030 new homes across the seven acre site.
The site will also include 150,000sqft of retail and commercial space, including a cinema, bars, restaurants, office space and a 100,000sqft Decathlon store.
The “Project Light” development is a joint venture partnership between Notting Hill Housing (NHH) and Sellar Design + Developments.
One rival contractor said: “There was a fair amount of interest in this job but it looks like Ardmore has landed it.”