Prime Minister Malcolm Turnbull has said he is "satisfied" no more of his MPs will be forced from Parliament because of dual citizenship.

Key points: Malcolm Turnbull says he's "satisfied" no more of his MPs will be forced from Parliament over dual citizenship concerns

Malcolm Turnbull says he's "satisfied" no more of his MPs will be forced from Parliament over dual citizenship concerns He says the Government will use its numbers to refer Labor MPs to the High Court

He says the Government will use its numbers to refer Labor MPs to the High Court Mr Turnbull also confirms he wants the same-sex marriage bill amended to protect celebrants and charities

Barnaby Joyce last night won the New England by-election, called after the former deputy prime minister was disqualified from Parliament for being a dual citizen.

Mr Joyce's win will increase the Government's numbers in the Lower House to 75, but the citizenship saga is still playing out.

MPs will this week declare information about their citizenship and parents' background as part of a new disclosure regime, while senators have already submitted their declarations.

"Based on the reports we've had from our members and senators, we're satisfied there are no further issues arising from our side of the house," Mr Turnbull told Sky News.

"There are plainly a number on the Labor side [who] should be referred to the High Court."

Labor MPs Justine Keay, Josh Wilson and Susan Lamb all have British heritage and are in doubt.

Mr Turnbull has confirmed the Government would use its numbers to unilaterally send Opposition MPs to the High Court.

"We can't in good conscience fail to refer anyone … to the High Court if it is clear there are substantial grounds for believing that they are ineligible to sit in the Parliament," he said.

"This is an acid test of [Labor leader Bill Shorten's] integrity.

Labor frontbencher Tony Burke fears the Government will not support the referral of Liberal and National MPs to the court.

"It will be an unacceptable protection racket if … only the Liberal Party can refer people to the High Court of Australia," he said.

Nine federal politicians have quit or been disqualified because of citizenship since the saga began in July.

Mr Joyce is projected to win a primary vote of about 62 per cent. ( AAP: Tracey Nearmy )

PM seeking same-sex marriage bill amendments

Meanwhile, the Prime Minister confirmed he wants the same-sex marriage bill amended to protect celebrants and charities.

The Senate last week passed a bill to legalise same-sex marriage and it will be debated in the Lower House over the coming days.

Mr Turnbull said celebrants who object to same-sex unions should not have to marry gay and lesbian couples.

And he said religious charities, such as the St Vincent de Paul society, should have their charitable status reaffirmed.

"No-one could ever reasonably, sensibly, rationally suggest that because it's a Catholic charity, and its leadership believe in Catholic teaching on matters of faith and morality, including marriage, that it should lose its charitable status," he said.

"A lot of the amendments that we're talking about … are really providing assurance that unintended consequences are not going to occur."

'Dastyari must go'

In a wide-ranging interview with Sky News, Mr Turnbull said "there will be no preference deals with One Nation at the next federal election, full stop".

He also called for embattled Labor senator Sam Dastyari to be ejected from Parliament.

"It's time for Bill Shorten to show he's on Australia's side and boot Dastyari out," he said.

Malcolm Turnbull has hinted that Sam Dastyari is being investigated by authorities. ( AAP: Dean Lewins )

Mr Shorten sacked the powerbroker from a small number of minor roles on Thursday after fresh revelations about his dealings with a billionaire Chinese political donor.

Fairfax Media reported that Senator Dastyari warned Huang Xiangmo his phone was likely bugged by security agencies, and gave the businessman advice on how to avoid being recorded by authorities.

Audio also emerged of Senator Dastyari contradicting Labor's policy on the South China Sea, while standing next to Mr Huang.

"Dastyari must go, he is not putting Australia first, and Shorten is utterly failing as a leader to leave him in the Senate," Mr Turnbull said.

When asked whether Senator Dastyari's actions should be examined by authorities, Mr Turnbull said: "You shouldn't assume it's not being investigated."

Mr Burke said it was "extraordinary" intelligence information made its way into the media last week.

"Someone in the Government decided that fighting the Labor Party was more important than protecting the Australia people," he said.

The Coalition will this week introduce a bill to crack down on political interference by foreign governments.

Senator Dastyari downplayed the information he provided as "gossip being spread by journalists", while Mr Huang has previously denied suggestions he tried to influence Australian politicians.