The North Eastern Quarter building will house the Bragg Centre for advanced materials and imaging and create new homes for the schools of computing and physics and astronomy.
This will involve redeveloping the old mining building and demolishing the estates building and central boiler house.
University procurement chiefs plan to hold a market engagement exercise ahead of starting prequalification for the latest stage in the redevelopment programme in December.
Under the present programme, the new building complex is due to be finished by 2019. Interested firms can register at the university tender portal.