The Arup Building is currently home to the Museum of Zoology, the Babbage lecture theatre and the Department of Materials Science and Metallurgy.
The department plans to relocate in 2013 and the university is taking the opportunity to refurbish and upgrade the whole of the 15,000 sq metre Arup Building.
A consultant design team will be appointed to progress the scheme before a design and build contractor is chosen for the £35m construction phase.
Up to six consultants will be shortlisted for the project management role and firms must express an interest by September 19.
To apply contact Grahame Jenkins on +44 1223765633 or email firstname.lastname@example.org