Joint venture developers Bakewell-based Litton Property Group and Edinburgh-based Buccleuch Property plan to build the scheme on the former Stokes Tiles Centre site at Fitzwilliam Street.
The scheme, which will be split into four interlinked blocks ranging up to 15 storeys, is out to tender with Bowmer & Kirkland understood to be among firms seeking to build the project.
Work is expected to start on the project in September and take 24 months to complete.