A 32-storey building is planned for Blackfriars Road on a site alongside Christ Church.
The 'skyscraper' would replace a row of buildings which include the Paper Moon pub and a betting shop. If plans are approved the church will have three new buildings on two sides of its churchyard.
Land Securities are embarking on a consultation programme for both sites. Recently concern was expressed over the height of the Holland Street building which would be alongside the back of the historic Hopton's Almshouses.