The Borthwick Wharf campaigners have been refused leave to appeal in the High Court at a hearing before Lord Justice Moses.
The judge concluded that demolition of the riverside building in Deptford does not need planning permission and that the planning authority cannot prevent it.
There is a fear that demolition will commence shortly although Greenwich Council is not expected to confirm approval for the new development for some weeks.
Updates will be posted here.
For the record demolition was under way on 27/11/06