A federal Labor politician has broken ranks with her colleagues in opposing the Government's draft laws which would see dual nationals stripped of their Australian citizenship if they are convicted of a terrorist offence.

Melissa Parke voiced concerns over the constitutionality of the proposed changes when the bill returned to the House of Representatives on Monday.

Labor supported the Australian Citizenship Amendment (Allegiance to Australia) Bill after almost 30 amendments, but Ms Parke said a "deep level of concern" remained.

"In my view the bill remains contrary to the rule of law and the principles of natural justice and as such should not be passed by parliament," Ms Parke said.

Opposition immigration spokesman Richard Marles raised concerns over constitutionality earlier this month when he said: "the question of constitutionality lies with the Government and ultimately it will be for the government to bear responsibility for that".

Greens MP Adam Bandt also spoke in opposition of the "Tony Abbott-era" bill, saying it would do nothing to make Australia safer.

Mr Bandt said the proposed laws would effectively divide the country into "two classes of citizens".

"It will trash one of the most fundamental principles of civil law and the English constitutional system that we have taken for granted for many years," he said.

"That is if you are born in a country you are a citizen of the country and it is not the parliament's prerogative to take it away."

Independent Cathy McGowan also voiced opposition to the bill.

'Citizens should uphold Australian values'

Numerous Labor and Liberal MPs spoke in favour of the bill on Monday, with Karen Andrews referencing Australia's "relaxed patriotism".

The bill — which is likely to pass the lower house — would see dual nationals stripped of their Australian citizenship if they commit acts of terrorism.

Liberal MP Craig Kelly told the lower house citizens should have "respect for our traditions, our heritage and our democracy".

He said the Government should outline "the values we say we want citizens to have and hold up", including the marking of Anzac Day and "a commitment to speak the English language".

"We should have due respect for our national anthem," Mr Kelly said.

"We should say that it is not acceptable for any group for any circumstances to walk out on any event when the national anthem is being played."

Mr Kelly also spoke in favour of free speech, saying "one of the rights you don't have in this country is to demand obliteration of the things that cause offense".

