Today co-host Karl Stefanovic has pressed a "waffling" Prime Minister Malcolm Turnbull on how his government will resolve the central issue in the citizenship crisis.

Speaking on the show this morning, the PM criticised Opposition leader Bill Shorten for failing to approach their two-hour meeting in Melbourne with Labor's Senate leader Penny Wong in a "bipartisan" and "business-like" manner.

After Mr Turnbull described the "media witch hunt" surrounding Energy Minister Josh Frydnberg's citizenship , Stefanovic said: "With the greatest respect, this is part of the problem, you're getting bogged down in the minutiae of something when you should be running the country."

But Mr Turnbull failed to heed the call to stay on topic, leading Stefanovic to add: "With the greatest respect, you are waffling this morning."

Mr Turnbull then listed the same-sex marriage postal survey and National Energy Guarantee as examples of his "practical, political, economic" leadership during the citizenship crisis.

It comes after Shorten spoke with Deb Knight earlier in the show, where he urged the government to meet the High Court's requirements.

"There are two points where I and the Prime Minister currently disagree," Mr Shorten said.

"I'm concerned that Mr Turnbull's first pass at trying to resolve the matter doesn't really enforce the High Court's interpretation of the constitution.

"There is no point coming up with a solution in parliament which then doesn't pass the muster in the courts."

Mr Shorten said the situation could be resolved before Christmas, and declared Friday December 1 would be the day to release Labor's documents on the citizenship status of sitting MPs.

"All that we are asking is that if your parents or grandparents were born overseas, that the parliamentarian has taken reasonable steps to investigate and recuse any potential foreign citizenship.

"This is a crisis which is stopping the government getting on with its day job."

Mr Turnbull agreed the crisis must be resolved as soon as possible as "time is moving on."

"I sat with my iPad for two hours with (Mr Shorten)... and he said he had to get advice and consult. Between he and Penny Wong, they couldn't come up with any amendment.