The roofing membranes on multiple levels of the 40-year-old Octagon building need replacing due to asbestos and age.
The cost of the replacement was not yet known, but between $2million and $3million had been budgeted.
Dunedin City Council property services group manager Dave Bainbridge-Zafar said a contract was awarded to Naylor Love in February for the design stage of the work.
"The design has been completed but a contract for the construction work has not been awarded.
"We are reviewing options for the final scope of the work and, if and when, a contract for construction is awarded, we will announce who the successful tender is and will be able to provide further information at that stage."
Mr Bainbridge-Zafar said there was asbestos in the centre, "as there would be for most buildings of this age".
"The work that is proposed would include removing asbestos cladding from the exterior of the building."
It was not yet known when the work would start or how long it would take, Mr Bainbridge-Zafar said, but the centre would not need to be closed during the upgrade.