The independent cyber security body tasked with reviewing the government's coronavirus tracing application has said it has no major concerns about the app.

The Cyber Security Cooperative Research Centre, which was allowed to review the app after several MPs raised concerns the data collected could be pervasive or mishandled, said it found "nothing particular disturbing" in the app's architecture.

The government wants at least 40 per cent of Australians to download the contact tracing app. Credit:AAP

"I'm pleased with what I've seen to date," the centre's chief executive officer, Rachael Falk, said. "There's very little private data obtained."

The Morrison government wants at least 40 per cent of Australians to download the app, expected to be made available by the end of the week, onto their phones to automate much of the contact tracing process that occurs once someone is found to have coronavirus.