Mr Albanese will host a virtual national cabinet meeting with the premiers and chief ministers on Wednesday to discuss the pandemic response.
A number of premiers have said that the period of the pandemic leave payment, which is due to end on September 30, should be extended.
The leaders agreed in July to equally share the cost of the payment, which benefits people with no access to sick leave.
Asked about the calls to keep the payments, Mr Albanese said on Tuesday: "I accept my own view, and my own view is while governments impose restrictions then governments therefore have a responsibility as a result of those decisions."
He said the leave payments, which had cost taxpayers more than $2.2 billion since the start of the pandemic and $320 million since July 20, were not too expensive.
Greens social services spokeswoman Janet Rice urged the government to extend the payments beyond the end of September.
"The government can't ask people to follow public health advice and then completely undermine that message by taking away the financial help they need to isolate," Senator Rice said.
"If national cabinet does not agree to the extension tomorrow, I will be moving an urgent disallowance in the next sitting of parliament to ensure that the crisis payment remains in place for people on income support who are forced to isolate or quarantine."
Workers in high-risk settings, such as aged care and disability care, are required to isolate for seven days, with five days applying for other employees.
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