The building, which is expected to cost up to £30m to build, already has planning.
The University aims to let the contract through a single stage bid process in July, when funding is also expected to be confirmed.
The Health Innovation Campus aims to bring together innovators, academics, businesses and health care providers to drive advances in health treatment.
Designed by John McAslan & Partners, the building will stretch over 120m rising from two to five storeys. The plan is to clad the scheme in a mix of natural stone aggregates to form robust lightweight concrete panels and bronze toned anodised aluminium mullions and panels.
Construction work is due to begin in September on a two-year programe.
Prequalification documents are available from the University’s website.