Future Fund chair Peter Costello says Australians who have lost their jobs because of the coronavirus crisis should be able to tap into their superannuation, adding properly managed funds should have no problem paying out their members.

The former treasurer said there was no evidence that the super industry was struggling despite $3.8 billion being withdrawn from funds in the four days since the federal government’s coronavirus rescue package came into effect.

Future Fund chair Peter Costello has thrown his support behind the government's early access to superannuation scheme. Credit:Janie Barrett

"I don't think, at the moment, there is any evidence that super funds need liquidity that they don't have," Mr Costello said.

“As far as I know, they are in a position to meet all of their responsibilities and you would expect that because running these funds, somebody has always got to have an eye to liquidity," he said.