Minto would not comment ahead of an official announcement, which is due tomorrow morning.
Speaking from Singapore, Dalziel said: "I welcome the announcement. It will be good to able to debate these issues with John."
The issues Dalziel refers to are likely to largely focus on public asset sales.
In April this year, Dalziel said she was torn about whether she should run for re-election, but weeks later confirmed she would run again after being asked by an elderly resident at an Anzac service.
Minto, who writes for the Daily Blog and teaches science at Hornby High School, is most well known for his activism in the 1981 Springbok Tour. He moved to Christchurch early last year.
University of Otago politics lecturer Bryce Edwards said Dalziel would be safe.
"I don't think he has a chance. She's a shoo-in," he said.
However, Minto would have a "strong impact" on the mayoral debate, which would likely centre on the Christchurch rebuild.
"He'll be critical of it, particularly of Christchurch City Council and the sale of public assets," Edwards said.
"With John Minto it's always about grass roots activism, and to get a movement going rather than just winning the vote.
"However we do live in quite interesting, quite radical times. In other parts of the world we have seen older left-wing radical politicians doing well."
Edwards said there had been an "anti-establishment resurgence" that had seen plain-speaking politicians like British Labour leader Jeremy Corbyn and US Democratic leadership contender Bernie Sanders rise in prominence.
"He [Minto] could surprise us in the same way Corbyn and Sanders surprised their own countries."
As well as stopping asset sales, Minto's policies include free and frequent public transport to all parts of the city, 1000 extra council houses and reducing management salaries so all council workers are paid the living wage.
Rates increases would also be on the cards on undeveloped land in the CBD, to end what he says is a corporate stronghold on the rebuild.
He also promises to make all Canterbury rivers swimmable.
- Additional reporting: Christchurch Star