Greens Leader Christine Milne says it's about time federal funds started flowing for deradicalisation programs in Australian communities.

"It has been almost eight months since Australians were first sent off to another unwinnable war in the Middle East, but only now is the Abbott government starting to act on countering violent extremism at home," said Senator Milne.

Greens Leader Christine Milne says that Daesh is running a sophisticated propaganda campaign and the Prime Minister's response is inadequate.

"Where are the prevention programs Mr Abbott?" Greens Leader Christine Milne said.

"This propaganda is sophisticated and appealing to hearts and minds.

"It's not enough for the Prime Minister to just stand there with his eight flags and say "don't do it". That won't work. It a recipe for complete failure.

Prime Minister Tony Abbott is trying to shore up his leadership by scaring the community and pressing the terror button, says Australian Greens Leader Christine Milne.

"We've got a Prime Minister who is so desperate that he is trying to press the terror button in order to shore up his own position. It won't make us safer," Senator Milne said.

"He's fanning flames of fear, anxiety, difference and division, because it's about the only thing that can distract from those same problems within his own party.

"Real leadership will bring people together, not divide them.

The Australian Greens have called on the government to increase the powers of the newly appointed Independent National Security Legislation Monitor.

Australian Greens spokesperson for legal affairs Senator Penny Wright said the Monitor needed greater funding and scrutiny powers to oversee the Abbott Government's massively expanded national security framework.

"The announcement of the new Monitor is long overdue and very welcome - but we now need to boost the position's powers to make sure it's more than a toothless tiger," Senator Wright said.

I am pleased to rise and speak to this important bill, which I have introduced with the aim of preserving and enhancing the crucial role of the Independent National Security Legislation Monitor (INSLM).

In a world characterised by unrest and fragile peace, the Australian Greens understand the need to have a robust conversation about our national security laws. We also have the highest regard for human rights and freedoms.

Australian Greens spokesperson for legal affairs Senator Penny Wright will today introduce a new Bill to increase the powers of the Independent National Security Legislation Monitor.

Earlier this year, the Abbott Government was defeated in its bid to scrap the Monitor - which plays a crucial role in assessing counter-terrorism laws - but the position remains vacant and unfunded.

"The position has been vacant since April, while bill after bill has been rushed through Parliament without proper scrutiny," Senator Wright said.

Debate was gagged on the Foreign Fighters legislation in the Senate before all aspects of the bill were explored, says Australian Greens spokesperson for legal affairs Senator Penny Wright.

"Labor and the Coalition have combined to rush the Foreign Fighters bill through the Parliament," Senator Wright said.

"Never mind that these are the most significant counter-terrorism laws in our lifetime, Tony Abbott and Bill Shorten have found a unity ticket on bad process and bad legislation.