A major redevelopment of TVC was launched in the summer to transform the site into a "creative quarter" for independent production firms and media companies.
According to The Guardian, plans for the next phase of redevelopment will be submitted to the BBC's finance committee next month, while commercial property consultants Lambert Smith Hampton (LSH) have also been appointed.
The corporation ultimately plans to sell TVC to developers, with staff working at the facility to move to Broadcasting House in London, which has just completed a £1bn revamp, and the new BBC North headquarters at MediaCity:UK in Salford Quays.
Other staff - including senior creative directors and some BBC Vision teams - will relocate up the road from TVC to the BBC's White City building and Media Centre.
After being established in 1960, TVC became a figurehead for the BBC operation, housing various hit shows such as Doctor Who and Blue Peter.
Last year, the Department for Culture, Media and Sport opted to list the building's Studio One, along with its central ring, known as the 'concrete doughnut'. Remaining parts of the structure, including the studios and canteen, instead gained Grade II status for their "structural attachment" to the wider complex.
The BBC first announced plans to sell TVC in 2007, largely because parts of the complex have become broken down and too costly to refurbish.
After the sale, the BBC intends to rent back some of the studio space at TVC to continue producing programmes at the site. It may also secure some space for commercial arm BBC Worldwide.
A BBC spokesman said: "Lambert Smith Hampton have a long-standing relationship with the BBC. There was a competitive tender to advise on Television Centre and they put in a bid and were successful."