The contractor will only work overnight on the £11m scheme to keep the centre open to shoppers as normal during the day.
Work will include replacing the flooring throughout the building and the installation of new seating areas and bespoke rooflight features.
The 35-week project will also see McLaren remove the inner staircase to make way for structural alterations which will open up the ground floor space for more retail units.
The centre will maintain its regular business hours and all retail units will stay open for the duration.
Jay Newman, Managing Director, South, at McLaren, said: “By working with British Land to organise an overnight working schedule, we are minimising the impact to shoppers and retailers, while carrying out vital improvement works.”
Nicky Blanchard, centre manager at Royal Victoria Place, said: “We’ve been working hard to finalise the plans over the past few months and we can’t wait to see the project now take shape, creating a high quality, relaxing and feel-good space for our visitors.”