Advocating genocide in private as well as public would become a crime punishable by a jail term of up to seven years if the Turnbull government adopts a call from a high-powered parliamentary committee.

The recommendation was made in a report released on Monday by a cross-party group of MPs who have been scrutinising the government's latest counter-terrorism bill.

Attorney-General George Brandis welcomed the committee's report. Credit:Daniel Munoz

The committee has largely backed the government's latest proposals, including reducing from 16 to 14 the age at which bail-like conditions such as curfews and tracking devices can be imposed on suspected terrorists.

But it recommended 20 changes, largely additional safeguards, including the use of security-cleared lawyers or "special advocates" who represent terrorism suspects in control order hearings where certain evidence is withheld from the suspect on national security grounds.