NZME, publisher of the Herald, has already taken a number of steps to cut costs amid the crisis.
This has included a restructure which has seen a reduction of more than 200 positions, including redundancies and the removal of vacant positions across the business.
Company directors and chief executive Michael Boggs reduced their salaries by 20 per cent from March.
The company has also requested staff to take annual leave before July, temporarily stopped the production of some products, and ceased broadcasting Radio Sport.
"We have left no stone unturned in the hunt for opportunities to reduce costs and cash outflows," said Boggs in an email to staff.
The request from NZME matches similar measures taken by MediaWorks, which asked its staff in early April to take a 15 per cent pay cut or face widespread redundancies.
The most significant blow to New Zealand media so far has been in the magazine industry, where Bauer pulled the plug on the local market earlier this month.
Prime Minister Jacinda Ardern has expressed concern about the state of New Zealand media and confirmed in the weekend that discussions were under way at Cabinet level for added assistance for New Zealand media companies that have seen a big drop in advertising revenue.
She did not go into details but said the pandemic had shown the importance of a media industry that provided trusted news and information.
"We need to make sure they [media firms] are also viable post coronavirus," she said.
