A second day of zero new cases of Covid-19 has prompted pressure from National Party leader Simon Bridges for the lockdown to be reviewed earlier than next week – earning him a sharp rebuke from the Prime Minister.

Bridges argues Cabinet should not be waiting until next Monday to decide when to move to level 2 - he says the Prime Minister needs to be asking every day what can be safely opened up now, to save jobs.

Deputy Prime Minister Winston Peters also entered the debate this morning, indicating he too was fighting for a quick release from level 3 lockdown, possibly as early as Wednesday next week.

"I don't break Cabinet confidentiality but take a wild guess," he told Newstalk ZB's Mike Hosking, when asked about who was leading the debate to get to level 2 quickly. "Our job is to get out, and get out as fast as possible."

At the same time, he said, "we can't guarantee a safe future until the vaccine turns up", so the country needed to minimise risk while trying to get the economy back on track.

The level 2 rules were still being worked through, and he said people should wait seven or eight days before rushing to judgment. "We're looking at the total framework. You'll all have different views about it and they've got to be thrashed out."

The level 2 rules are due to be publicly released tomorrow, but Cabinet is not due to decide until Monday when the country can come out of level 3.

Yesterday Ardern and Australia's Prime Minister Scott Morrison also formally agreed to begin work on a transtasman Covid-safe travel zone.

The commitment was made in a joint statement released after Ardern took part by video conferencing in Australia's national Cabinet – a special grouping called in times of crisis.

However, both Prime Ministers warned that travel between the two countries would still be some time away and would depend on adequate health and transport processes.

Peters told Hosking decisions about a transtasman bubble were not entirely up to Australia's government - states also needed to have a say.

He would not say whether he was disappointed with the outcome of yesterday's Australian Cabinet meeting.

If interstate and domestic travel was allowed in Australia and New Zealand then travelling between the two countries made sense, he said.

On the issue of a contact tracing app, he said the biggest hurdle would be the take-up, which needed to be 60 per cent or more - it is well below that. He was not knocking technology but said without "buy-in" it wouldn't work.