The prime minister won't stand in the way of a joint parliamentary committee scrutinising the government's coronavirus response.
"The government doesn't have any issues with that," Scott Morrison told reporters in Canberra on Friday.
"The Senate provides, I think, very good mechanisms for doing that and we discussed that with the opposition last night."
The calls for scrutiny come as new analysis shows Australia is unique among parliamentary democracies in shutting down the legislative body for such a long period.
Federal parliament will sit on Wednesday to pass the $130 billion in wage subsidies, giving businesses $1500 fortnightly payments for each worker employed.
But aside from the one-off meeting, parliament isn't due to be recalled until August, with the government clearing the program due to the pandemic.
Mr Morrison defended the reduced siting calendar, saying parliament would "promptly" meet when needed.
A group of cross bench members and senators on Friday wrote to the prime minister and Labor seeking two select committees - one dealing with health measures and the other with the economic component of the virus response.
Greens leader Adam Bandt said independent oversight needed to be a condition of fast-tracking laws next week.
"This is quickly becoming an unaccountable juggernaut, with Liberal and Labor cutting deals to fast-track legislation without accompanying oversight or scrutiny," Mr Bandt told AAP.
"It disenfranchises the millions of Australians who voted for an independent or minor party to help hold the others to account."
Centre Alliance senator Rex Patrick backed the oversight idea.
"We are only firing on seven cylinders with respect to oversight," he told ABC Radio National.
Mr Morrison told reporters the national cabinet would move to regularly release data including a "daily dashboard" to show how Australians are contributing to reducing the spread of the virus.
Lower house manager of opposition business Tony Burke said it was extraordinary to have no parliamentary oversight of government spending during the crisis.
The Centre for Public Integrity says the other comparable parliamentary democracies have only cancelled nine or fewer days of sittings in response to the pandemic.
But Australia's parliament has dumped 21 sitting days, or almost a third of what was planned for the year.
"Australians everywhere are expected to work from home and continuing meeting via online technologies. Why should our MPs be any different?" centre chair Anthony Whealy said.
"Other parliamentary democracies dealing with outbreaks of coronavirus, including France, Spain, UK and US have all continued to sit and scrutinise government legislation."
Several other nations, including New Zealand, have also set up oversight committees.
The wage subsidy legislation, which is expected to be provided to MPs by Monday, is likely to be backed but Labor has flagged amendments to improve the program's reach for casual workers.
Opposition Leader Anthony Albanese said he was conscious of the need for parliament to not sit for longer than needed, and hoped most of the issues could be worked out in negotiations before the sitting.
About 57 lower house MPs will meet in Canberra next week, with a logistical nightmare looming.
Some MPs will have to enter quarantine after returning home given border restrictions in some states.
Australian Associated Press