The centre is planned at the University of London’s Queen Mary College campus in Mile End as part of an expansion scheme.
McLaren Construction and Morgan Sindall also submitted bids for the university building.
The Wilkinson Eyre designed building will house new facilities for the School of Economics and Finance, student services and a 200 seater lecture theatre and a range of seminar and large lecture spaces.
A new CHP energy centre serving nine buildings also forms part of the project.
Improvement works are also planned to the facades of the historic People’s Palace and the Queens’ Building.