The Coalition has resisted calls from Labor for Federal Parliament to be recalled next week to speed up their stimulus-response to COVID-19.
Mr Albanese wrote to Prime Minister Scott Morrison asking for the next sitting to be brought forward so the $17.6 billion fiscal package can be rushed through parliament.
But the government rejected the offer saying time is needed to draft the measures and ensure the most effective delivery of the stimulus.
Prime Minister Morrison has said his response is about "keeping Australians in jobs" through timely, targeted and scalable measures.
It includes steps to brace the economy, small and medium-sized businesses and welfare recipients against a possible recession.
This will see a one-off payment of $750 for 6.5 million Australians including pensioners, Newstart, social security, veteran, family tax benefit and other income support recipients.
Mr Albanese said Labor would expedite the passage of stimulus measures through the Parliament.
"This has to continue to be seen through the health policy prism," he told reporters.
"The most important thing is keeping Australians as safe as possible."
Some steps to support businesses have already begun, and the quickest one-off payments to welfare recipients can begin is 31 March.
This means bringing the next sitting week forward from its return date of 23 March would not change this.
The Coalition's cash splash will see $17.6 billion spent at a cost of 1.2 per cent of GDP to stave off economic downturn from the virus.
It includes measures for some 120,000 apprentices to have 50 per cent of their wages subsidised until September this year.
Small and medium-sized businesses employing almost eight million workers will benefit from a cash boost of up to $25,000.
The instant asset write-off threshold has also been expanded from 30,000 to 150,000 dollars to boost vehicle, tool and equipment sales.
Labor's treasury spokesperson Jim Chalmers told reporters fast-tracking the stimulus would give the plan every chance to succeed.
"Our overriding objective here is to do what we can to inject a sense of urgency here," he said.
"They are not perfect and we will do what we can to pressure the government to improve them."
But an attempt to address the concerns of casual employees worried about time in self-isolation remains a point of contention for the opposition.
The Federal Government has waived one-week waiting periods for them to access taxpayer-funded sickness allowances.
Dr Chalmers said $40 a day may not be enough to ensure casuals feel secure about calling in sick without undue cost.
"Clearly we think that the measures around casuals and sick leave is insufficient," he said.
“What we want to do is we want to make sure that if casual workers are unwell that they stay home.”
Mr Albanese also criticised his opponents for being too slow to get out a public information response.
"On this campaign, it has been too slow they need to do better," he said.
"The public need clear information based on the expert medical advice."
The Coalition has pledged $30 million towards a national communication campaign to be released in the coming days.
This is part of a $2.4 billion health response to the outbreak.
Prime Minister Morrison also met with state and territory leaders on Friday to call on them to join efforts to stimulate the economy against the outbreak.
"I'm focussed on what's needed in Australia, the health of Australians, the jobs of Australians, Australian businesses," he said.
"And ensuring that we all work together ... to look after Australians, to look after our economy."
With additional reporting from AAP
