The immigration minister's powers have been clarified to specify they can't make a decision on a person's citizenship under draft laws to strip citizenship from dual national terror suspects.

The government's fourth tranche of counter-terrorism legislation passed federal parliament's lower house on Monday and now goes to the Senate for final approval.

There were concerns the bill was not constitutionally sound, with Labor warning it would not be held responsible if the laws were challenged in the nation's highest court.

The government moved to appease those concerns with last-minute amendments based on advice from the solicitor-general last week.

The details of the changes were revealed on Monday, clarifying that the immigration minister could not be considered a decision maker on a person's citizenship.

That amendment curbs the risk of a constitutional challenge.

Labor also pointed out another "error" in the bill which it said would have major consequences had it not been changed.

Shadow attorney-general Mark Dreyfus said an "inappropriately broad" category of conduct to revoke citizenship would have been captured had the definition of terrorism conduct not clearly been distinguished from what was merely criminal.

Only independents Andrew Wilkie, Cathy McGowan and Greens MP Adam Bandt voted against the bill.

Mr Bandt criticised the schedule of last-minute changes which he said had yet to be even reviewed.

He accused the government of using national security to gain votes by pushing on with the "Tony Abbott-era bill".

There was nothing to stop someone prepared to blow themselves up if they were faced with the prospect of having their citizenship revoked, Mr Bandt said.

Immigration Minister Peter Dutton said the bill struck the right balance and would confront the challenge of those who betrayed their allegiance to Australia.

"The national security threat is unprecedented in our history," he told parliament.

The legislation is expected to be cleared by the upper house by the end of the week.