The Grade II*-listed mill is currently being redeveloped by Urban Splash and these proposals for the second phase of the project are about to be submitted for planning with Bradford City Council.
It is thought that a decision on the scheme - which is considered outlandish for the area and likely to provoke controversy - will be made early next year.
The project has been designed with Price & Myers engineers and is the second building to be overhauled on the site by Urban Splash. The initial Silk Warehouse scheme, designed by Latham Architects, was marketed for occupation last year.
The first Lister Mill was built in Manningham in 1838. It burnt down in 1871 and the building that replaced it, designed by Bradford architects Andrews and Pepper, spread across 11ha, between Heaton Road, Oak Lane and Lilycroft Road, with 6.5ha of floor space.
A spokesperson for Urban Splash said: 'Lister Mills dominates the Bradford skyline. It is a glorious reminder of Bradford's Victorian past and its once-legendary industrial prowess.'
The Morley project is exhibited at the Anatomy of Engineering exhibition, at St Pancras Church in Euston, London. See more about the exhibition.