Councillor Brian McLachlan said nobody had put any concrete ideas forward for further development of the site.
However, Whangarei Mayor Sheryl Mai said NorthTec and Manaia Health PHO had approached the council informally about use of the site.
Whangarei District Council group manager for district living Paul Dell said the council would have to explore the issue of container use.
"We are leaving the toilet block as a courtesy to the market stallholders but yes, we expect the building will be demolished before June."
The site would eventually form part of the "Emerald Necklace", a band connecting rivers, streams, green areas and walkways in the city.
The market has been running for around 16 years.