Mr Hodgkinson said the previous payroll providers, Datacom, had successfully handled the job before Novopay was rolled out flaws and all in August 2012. "If Datacom can do it, let's move back to that," he said.
He applauded the school staff across the country who are enduring the defective system and fighting to make it work.
"I take my hat off to the teachers and support staff who are sticking in there despite having no confidence in Novopay at all. Workers in any other profession would have walked out way before now," Mr Hodgkinson said.
Greytown School principal Kevin Mackay said there had been three staff members who were not paid on Wednesday and another part-time teacher who was significantly overpaid.
He said the school also had outstanding payment errors from September that were still unresolved, including overpayment debt recovery that would not be started until May.
Mr Mackay believed Novopay should be dismantled "if they had something to replace it with", but said the Ministry of Education had been caught in a trap of its own making.
"It's horrendous but they've got nothing else, so they have to make it work," he said.