The Prime Minister has proposed new laws to make it easier to strip Australian citizenship from those convicted of terrorism offences.

Key points: The Coalition wants the power to strip convicted terrorists of Australian citizenship regardless of the severity of their sentence

The Coalition wants the power to strip convicted terrorists of Australian citizenship regardless of the severity of their sentence Home Affairs Minister would only have to be "reasonably satisfied" a convicted terrorist had citizenship of another country to fall back on

Home Affairs Minister would only have to be "reasonably satisfied" a convicted terrorist had citizenship of another country to fall back on Labor is waiting to see the legislation before considering support

Under current laws, the Federal Government can only strip citizenship from people who have been sentenced to at least six years in jail.

"We will be removing that requirement," Mr Morrison said.

"It will only be if they are convicted of a terrorist offence, the current wording of the law, we believe it is unrealistic and needs to reflect the genuine threat that has been posed by those engaged in this activity."

The Government is also wanting to change the threshold for stripping Australian citizenship.

"The Minister will only need to be reasonably satisfied that a person would otherwise have another citizenship, which is a change from the standard existing today," Mr Morrison said.

"We will be reviewing all the onshore and offshore cases in relation to these matters."

Legislation is due to be introduced in coming weeks, and comes in the wake of the deadly Melbourne terror attack earlier this month.

"For those who would engage in this sort of activity, and they have citizenship elsewhere, and we have reason to believe they do, they can go," the Prime Minister said.

Nine people have had their Australian citizenship revoked under the existing laws, which were announced in the last few months of Tony Abbott's prime ministership.

The third part of the Coalition's latest proposal would be to ban people involved in terrorism overseas from returning to Australia for two years, seeking to emulate a similar scheme in the United Kingdom.

The proposals were supported by Cabinet earlier in the week.

Encryption laws should pass before Christmas, demands Morrison

Mr Morrison and Home Affairs Minister Peter Dutton have also ramped up pressure on Parliament's powerful intelligence and security committee to finish considering new laws allowing law-enforcement agencies to access encrypted messages.

Three further public hearings are scheduled to be held by the committee through until December, before it considers its final recommendations to Parliament.

But Mr Morrison is suggesting it should hurry up, given Parliament will rise for the long summer break in two weeks.

"I would insist on seeing [the laws] passed before the end of the next sitting fortnight," he said.

That message does not seem to be influencing the committee, with chair and Liberal MP Andrew Hastie and deputy chair and Labor MP Anthony Byrne, suggesting they would not be rushed on such complicated legislation.

"The Intelligence and Security Committee has consistently functioned in a bipartisan way to ensure that Australia's national security and law enforcement agencies have appropriate powers to keep Australia safe," the pair said in a statement.

"The Committee will hold hearings next week with relevant agencies to hear evidence regarding the necessity and urgency of the proposed powers, as reported by some in recent press.

"The Committee will publicly announce any changes to the scheduled hearings as advertised."

The Federal Opposition supported the original changes to the law to allow terrorists to be stripped of their citizenship in 2015, and said it would look at the new proposal.

"There is nothing more important than keeping Australians safe, and we will always listen to the advice of our security agencies on what they require to keep Australians safe," Shadow Attorney-General Mark Dreyfus said in a statement.

"We will examine this legislation on its merits through the Parliamentary Joint Committee on Intelligence and Security process, once it is presented.

"We will work cooperatively with the Government, as we have done with the 10 national security bills that have been put forward by the Government since 2013."