The other seven houses are currently occupied.
Keith Davison, city council land drainage manager, said there were three submissions from landowners, all of which supported the proposal.
He said the city council would need to pass a resolution that "supports the preferred construction options" before it could negotiate with landowners.
"If that occurs, we will enter into negotiations with property owners and only then will we be able to understand fully their views on selling."
Property owner Dorothy Grieve, who is 90-years-old, has said she is not keen on selling her home as she didn't know where she would go if she had to sell.
Ground levels in some parts have dropped by up to a metre in the Knight's Drain catchment zone, which covers parts of Aranui and Wainoni, putting houses at greater flood risk due to earthquake-related land damage.