Prime Minister Scott Morrison will not speak to Donald Trump during his final days as US president despite phone calls with senior figures from his administration.
Mr Morrison spoke to Vice President Mike Pence on Tuesday after a call with US Secretary of State Mike Pompeo a day earlier.
But there are no plans for a farewell call to Mr Trump, who is leaving the White House this week.
The prime minister on Monday increased his criticism of the deadly US Capitol riot but continues to stop short of other world leaders in directly condemning the president.
Last week, Mr Trump became the first president to be impeached twice and is due to face a Senate trial to decide if he will be convicted of inciting an insurrection.
Mr Morrison said Mr Pence spoke about positive discussions that were being had about the handover to Joe Biden's administration.
"I welcome the fact that despite all the terrible things we've seen there happen, there has been that positive engagement between them and those who are coming in after them," he told reporters in western Queensland.
"One of the things that will be handed over from the current administration to the new one this week is the stewardship of that very important relationship between Australia and the United States."
The prime minister is confident a Biden presidency will not change the alliance between the two countries.
"I expect there would be a continuation of those policy settings that have so favoured the Australian alliance," Mr Morrison said.
He said the US alliance was important to Australia and the wider Indo-Pacific region.
"The one thing that always brought us together has been our understanding of how strategic and significant the relationship is," Mr Morrison said.
"The best of that relationship, as I said to vice president Pence this morning, is still to come."
Labor leader Anthony Albanese is urging Mr Morrison to join with UK Prime Minister Boris Johnson and German Chancellor Angela Merkel in explicitly calling out Mr Trump's role in the riot.
"Those of us who are democrats need to be consistent about calling out democratic values," Mr Albanese told 5AA radio on Tuesday.
Mr Albanese said Mr Trump's decision to award Australia's prime minister with the Legion of Merit military honour late last year was very strange.
"The idea that any Australian politician who hadn't served in the armed forces would be given the equivalent of a VC or a higher military medal would I think be considered to be rather bizarre," the Labor leader said.
Touching on the insurrection, Mr Albanese said the Trump presidency would be judged harshly by history.
Australian Associated Press