The main contractor was confirmed by developer University Partnerships Programme this week.
Vinci was tipped by the Enquirer for the job in January.
The scheme will consist of nine accommodation blocks alongside an urban green and avenue featuring a café, convenience store, laundry facilities and formal and informal outdoor areas.
The construction value of Vinci’s deal is £97m.
Preliminary work has now started with the first raft of 478 new rooms due to be available for the 2018 student intake and the remaining 984 available in September 2019.
Bruno Dupety, Chairman & Chief Executive officer, Vinci Construction UK Limited, said: “This will be the fifth student accommodation contract Vinci Construction UK has carried out for UPP.
“Our experience and expertise in the student accommodation sector will ensure the highest quality facility that enhances the student experience of life on campus.”