The Australian Government was seemingly unprepared for the prospect Donald Trump would win the US presidential race, with government documents saying there were "no signs" he could swing a victory.

Key points: Australian report said Trump "would have to dramatically redraw the political map to win"

Australian report said Trump "would have to dramatically redraw the political map to win" PM did not have Trump's contact number despite Trump and Clinton "having established transition teams"

PM did not have Trump's contact number despite Trump and Clinton "having established transition teams" Defence officials did not contact new US counterparts before or in two months after election

Prime Minister Malcolm Turnbull was forced to rely on a personal number provided by golfing legend Greg Norman in the aftermath of the election, because the Department of Foreign Affairs and Trade did not have contact details for Mr Trump's team, although a government briefing paper noted that both "Trump and Clinton had established transition teams".

Documents from the Department of Defence released under Freedom of Information laws show Defence Minister Marise Payne was also unprepared for Mr Trump's victory.

Senator Payne and Defence Industry Minister Christopher Pyne travelled to Washington to meet with top officials in October last year, one month before the election.

The department prepared a briefing document for Senator Payne, marked "secret," and for "Australian Eyes Only".

Key details of Mr Trump's foreign, defence and trade policy positions have been redacted, but the document does reveal an assessment of the then candidate's character.

"Trump is an unprecedented candidate and his ability to manoeuvre and recover should not be underestimated," it reads.

"Regardless of the outcome, the US will be looking to its allies to do more."

The briefing pack does contain photographs of key campaign figures and advisers, but the accompanying text has been blacked out.

It also contains a copy of an open letter about Mr Trump sent by GOP national security leaders in March 2016 and a statement by former national security officials sent in August 2016.

Minister waits seven weeks to write to Defence Secretary

Senator Payne congratulated the incoming defence secretary after his nomination but then waited about seven weeks before contacting him again, despite trouble brewing over the United States' stance on the South China Sea.

Then nominee for secretary of state, Rex Tillerson, told the US Senate he wanted to block China's access to the contested islands, prompting warnings the US could involve Australia in a war with China.

A spokesman for Senator Payne said she contacted General Mattis to congratulate him in early December and again in late January.

"As is usual practice, the Government works with the serving US administration of the day," the spokesman said.

"Minister Payne wrote to Secretary Mattis on 23 January.

"Minister Payne spoke with Secretary Mattis on 25 January."

No contact with new US defence secretary

Senior Defence officials had no official correspondence with their new US counterpart General Mattis in the two months after the election, according to the department's response to the ABC's freedom of information request.

The US defence secretary visited Canberra in September last year.

At the time, General Mattis was a Visiting Fellow at the Hoover Institution.

General Mattis was announced as Mr Trump's pick for defence secretary at a rally on December 1 last year.

'No signs' Trump can win

The document contained extensive polling information and rated Mr Trump's chance of winning the election as unlikely.

"[Hillary] Clinton is the frontrunner," the document said.

"However, this lead is narrowing and Trump is competitive in battleground states.

"The electoral map is strongly tilted in Clinton's favour ... Trump, in contrast, would have to dramatically redraw the political map to win...

"So far, there are no signs that Trump will be able to achieve this.

"While Democrats are very positive about a Clinton victory, they see a long fight ahead until Election Day in November."

The document also credits Mr Trump's new staff with a small improvement in his polling.

"[Polling improved] when he appointed Breitbart CEO Stephen Bannon as Campaign CEO and Kellyanne Conway as Campaign Manager," it said.

The Department of Defence denies the briefing got it wrong on Mr Trump's chance of winning.

"The briefing was not based on any such assumption," a spokeswoman said.

"Factual polling data was included in the briefing."