The Government was responding to fresh calls for so-called "lone wolf" attacks in Australia in a new magazine put out by the self-proclaimed Islamic State, or IS.
In its English-language online magazine, IS calls for supporters in Australia to launch attacks on various Sydney and Melbourne suburbs and iconic sites.
They include suburbs like Sydney's world-famous Bondi and Melbourne's heavily multicultural Brunswick, the two cities' major cricket grounds and the Sydney Opera House.
Australian Multicultural Foundation executive director Hass Dellal has told the ABC Australians should be vigilant but aware of the intent behind the magazine article.
"But I think, as a community, we need to be astute enough not to fall for the trap that these threats are about, because they're really also about creating fear and hate and trying to create a division in the community and disturbing the normality of life and the way people sort of interact with each other. Because, if they achieve that, they've achieved part of their aim."
The Melbourne Cricket Ground, named as a potential target, is set to host the AFL football finals in the coming weeks.
Federal Justice Minister Michael Keenan says football fans should not be worried about heading to the games.
He has told the Nine Network that, as IS - or ISIL - comes under more pressure in the Middle East, it will resort to attacks further afield.
"As we are more successful against ISIL in the field -- and we are destroying them in Syria and Iraq -- then, in many ways, that does magnify the threat that they will seek further legitimacy by propagating attacks in the West. And, unfortunately, Australia is not going to be immune from that."
Prime Minister Malcolm Turnbull, attending a meeting of southeast Asian leaders in Laos, says the IS call highlights the need for strong regional cooperation on security.
Mr Turnbull says recent attacks around the world show the danger of so-called "lone wolf," or individually generated, attacks.
"Individuals who, for a variety of reasons may be radicalised -- often associated with mental illness, frankly -- can be radicalised very quickly and can engage in very destructive lethal conduct, as we saw in Nice, for example."
Security was on the agenda when Foreign Minister Julie Bishop met Germany's Defence Minister in the German capital, Berlin.
Ms Bishop says the two countries will share information, ideas, experiences and intelligence to prevent their nationals being lured by groups like IS.
"We had a very constructive and frank discussion on a whole range of areas and on many areas where we can do more together, including in counter-terrorism and countering foreign terrorist fighters."
A counter-terrorism specialist at Melbourne's Deakin University, Professor Greg Barton, says the threats are IS propaganda.
He has told the ABC the general public should not spend too much time worrying about them.
"But it is something that the police and authorities have to worry about. They've stopped 700, 800 young people over the last 18 months from travelling, so there are some frustrated young people out there who might do something really rash. And that's what Islamic State's gambling on. This is kind of, as much as anything, a crowdsourcing bid -- 'Who wants to try it and be famous?'"
