Suggs's '80s pop collective will perform a concert that will act as a warm-up for a final two-hour pre-recorded show about the broadcaster's studios, Goodbye TV Centre.
Airing in March, the show will celebrate the BBC's flagship studios, looking back at events such as the power cut on the launch night of BBC Two, and visiting the studios used for Monty Python's parrot sketch, Del Boy's living room, Miranda's shop and the corridors that Alan Partridge ran down with his stolen Stilton.
Guests who joined former BBC chairman Michael Grade on the sofa include Penelope Keith, Ronnie Corbett, David Mitchell, Michael Parkinson, Terry Wogan, Mark Lawson, David Jason and Zoe Ball.
Completing the lineup are Phillip Schofield, Gary Lineker, Chris Hollins, Bob Harris and Fiona Bruce.
BBC Television Centre opened on June 29, 1960. It closes on March 31. The building is being redeveloped into hotels, flats, a cinema and office.