Senator Penny Wright speaks to reporters about George Brandis's job offer to Gillian Triggs:

"It's now clear that the Attorney-General put undue pressure on an independent office holder to resign. That is completely inappropriate and if anyone is going to resign, it should be the Attorney General."

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.