The £14m contract to redevelop its Pelham Street site in Brighton was procured through the Scape framework.
It will involve building a 33,000 sq ft extension to an existing tower block on the campus.
Willmott Dixon is working with a team that includes ECE Architecture and Northgates as QS to deliver a three-storey extension by the end of 2020.
As the project is within the live campus environment, Willmott Dixon will be utilising its considerable experience of live campus working derived from delivering over £350m of higher education projects in the past three years.
Roger Forsdyke, managing director for Willmott Dixon in the Southern Home Counties, said: “ We are really looking forward to working with the MET team on the next phase of their growth and, in the process, sustain regional companies and jobs with our ‘local pound’ commitment.”