The project will involve refurbishing the adjoining Morley Horder and Grade II listed Carpenter buildings and upgrading all bedroom facilities to provide en-suite bathrooms.
The three-storey buildings will accommodate 121 students and 25 fellows and include music practice rooms to the buildings.
Morgan Sindall will carry out external works including façade and natural stone repairs, roof replacement, window restoration and hard and soft landscaping. Internal operations will involve a full mechanical and electrical strip out and bedroom upgrade.
Bob Ensch, area director for Morgan Sindall, says: “We have a long track record of delivering successful schemes for the Colleges at the University of Cambridge.
“We understand the complexities that are involved when operating within the education environment and we are proven at delivering projects on time and within budget.
“In recent years, we have successfully completed schemes for Cambridge including Kings College, St John’s College and Trinity College and we’re looking forward to delivering Jesus College’s latest refurbishment project.”