The Robert Burns statue has been a constant onlooker since Naylor Love crews began work on the centre in January.
The upgrade - including roof replacement - had been expected to cost about $3 million, but this increased to $4.4 million.
The change was due to additional repairs being required to preserve the building’s exterior and replacement of windows, a Dunedin City Council spokesman said.
The project is due to be completed by June next year.