Only seven submissions have been received for a consent hearing expected mid-June.
Five support the proposal and two are neutral.
The decision to demolish part of the building, which has a category one heritage rating and is protected in the city's district plan, was officially announced in March, after a compromise was reached between the Dunedin City Council and the New Zealand Historic Places Trust.
The compromise meant the trust would support the council's resource consent application to demolish part of the building, as long as the council placed a binding covenant on its title ensuring the remainder of the building stays put.
The $5 million project would allow the University Oval to be expanded to allow for an outfield about the size of Wellington's Basin Reserve.
Submissions came from the historic places trust, New Zealand Cricket, the Otago Cricket Association and three individuals, including heritage advocate Elizabeth Kerr, while a late submission was received from Otago United.
The trust's submission supported the proposal as long as the covenant was put in place, and sufficient curtilage provided.
New Zealand Cricket said it was committed to having international cricket in Dunedin, and the proposal would help make University Oval a "genuine international cricket arena".