Health Minister Greg Hunt has assured Australians that US authorities will not be able to access data collected by the government's coronavirus tracing app as crossbench senator Jacqui Lambie raised fears the information could be misused.

Mr Hunt on Tuesday said he had received advice from Attorney-General Christian Porter's office that protections under Australia's Biosecurity Act would trump any overseas laws.

Greg Hunt says he has received advice saying the United States could not access COVIDSafe data. Credit:Simon Schluter

The ABC earlier reported that data collected by the COVIDSafe app might be obtained via subpoena under America's CLOUD Act, which can require US data storage services to produce data they hold no matter where it is stored. US tech giant Amazon won the contract to store data collected by the app in Australia.

"It's absolutely clear that there is no application to the US law in relation to this app. It doesn't apply in Australia," Mr Hunt said at a press conference in Victoria. "In any event, the Biosecurity Act determination trumps it."