The contractor will build a 6,000 m2 (65,000 sq ft) extension for an 11-screen, Cineworld Imax cinema complex and six chain restaurants. Completion is expected in summer 2017.
The contract also provides for a 15-month maintenance period.
Shopping centre owner is Land Securities, whose portfolio director Rob Jewell said: “The decision to appoint Morgan Sindall to deliver this latest improvement to White Rose Centre was an obvious one given its exemplary previous work on the project.”
Morgan Sindall refurbished the shopping centre’s food and beverage court in 2014.