"We've been having regular conversations with Cricket Australia looking at all different kinds of opportunities," he told the Sydney Morning Herald/Melbourne Age.
"A Tasman bubble would be terrific if it did eventuate (and) present some opportunities. The key is to keep an open mind and be flexible so if opportunities do arise we can take them.
"We haven't talked specifics. What we have talked about is conceptually the possibility of playing each other."
White said NZC was determined to keep the domestic schedule intact and keep financing community cricket.
"If there is any cost cutting to go ahead, we'll probably be doing that at head office," he said.
New Zealand and Australia played an ODI in Sydney behind closed doors before the series was abandoned in March.
The Black Caps' home tests against Pakistan and West Indies and short form matches against Sri Lanka are under threat because of the pandemic.
Australia's tour of Bangladesh is cancelled, and a limited-overs tour of England is unlikely. Zimbabwe's August tour is also unlikely and the end-of-year Twenty20 World Cup also under major threat.
The Australian papers reported that New South Wales and Queensland believe CA is being "alarmist" in its financial forecasts, and are resisting 25 per cent funding cuts. CA has put most staff on 20 per cent pay. But West Australian cricket believes the CA stance is fair.
