Immigration Minister Peter Dutton has warned Australians they are not exempt from terrorism or its evil voice at home.
But he assured the public on Sunday that the federal government would do everything it could within the law to ensure safety.
Two recent terrorist attacks in Kuwait and Tunisia, the latter targeting tourists on a beach, should remind Australians the threat is very serious, Mr Dutton said.
"The fact that this evil voice reaches out across the globe demonstrates just how extensive the network is," he told reporters in Canberra.
"We are not exempt from this in our own country."
In addition to draft laws to strip citizenship from dual nationals involved in terrorism, the government will consider suspending other privileges as part of a plan to target sole citizens.
Australia is obligated under international agreements not to render any person stateless, and the government maintains it won't go down that path.
Prime Minister Tony Abbott has been advised the two attacks do not appear related.
While it was clear some recent attacks had been inspired by Islamic State, it was "far from clear" they had been directed by the terrorist group, Mr Abbott said.
"Obviously, we're keeping this matter under review," he told reporters in Singapore.
The government has no plans to increase the terror threat level in Australia from its high rating however, Mr Dutton warned the threat had been ramping up for some time.
"My judgment is that this will get much worse before it gets better," he said.
"We need to stare this threat down."
Draft laws to strip citizenship from duel nationals involved in terrorism passed the House of Representatives last week with opposition backing.
But Labor frontbencher Joel Fitzgibbon said the prime minister was determined to make the next national poll a "khaki election" by focusing on terror and military action.
"This guy is the master of mind manipulation, he's instilling fear and uncertainty into the community when he really should be instilling hope and aspiration," Mr Fitzgibbon told Sky News.
"These phrases like ... `the death cult is coming to get us', he shouldn't be allowed to say that before 9 pm at night. What will kids think when they hear that from their prime minister?"
Mr Dutton accused Labor of not understanding all the facts about the terror threat.
"It really demonstrates they're not fit for government," he said.
Mr Fitzgibbon accused the government of trying to make the issue contestable even though Labor supported the action in principal from day one.
"I support pushing back against civil liabilities if it keeps people safe," he said.
Government minister Malcolm Turnbull also expects stripping citizenship from sole nationals will be back on the agenda at some point in the future with government having issued a public discussion paper to gauge opinion.
"It's certainly something that could well come back," he told the ABC.
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