Tim Vaughan, asset manager for Moorgarth Group Ltd who own the centre, said the proposal represented a “substantial investment,” although an exact figure was not yet known.
He also said they had been in touch with an interested party regarding the new retail unit at the back of the store, adding: “It is at a very early stage.
“If other people are interested they can let us know.”
The proposed changes have been welcomed by the council.
In a report to the area committee, head of community and enterprise resources, Colin McDowall, said the fact the centre was in the Rutherglen Conservation Zone meant any changes had to use “high quality materials and improved design.”
He also reported: “The changes will result in improved, cleaner materials and consistent shop fronts and an entrance which will tie in appropriately with the existing street pattern.
“This will also reduce clutter and reduce the likelihood of people congregating outside the entrance.
“Bringing forward the entrance and introducing more glazing and modern materials will provide a more attractive setting for the centre and will enhance the streetscape.”