'Heads down, work hard': Berejiklian stares down rogue Nationals

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NSW Premier Gladys Berejiklian is again staring down Nationals MPs after their failed coup last week over laws protecting koalas.

Nationals MP Chris Gulaptis says he is still willing to move to the crossbench unless the Liberals agree to make changes to the laws.

"My resolve remains unchanged," Mr Gulaptis told 2GB on Monday.

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NSW Premier Gladys Berejiklian is still willing to call the bluff of any Nationals MPs daring to cross the floor over existing laws protecting koalas.  John Veage

Ms Berejiklian said crossing the floor over the policy was a matter for individual members to decide.

"We're a strong, stable government," she told reporters in Sydney.

"My decree to everybody is focus on the job we're elected to do, that's what people want from us. Heads down, work hard."

The government was thrown into chaos on Thursday when Deputy Premier John Barilaro threatened to "effectively" take his party to the crossbench over the koalas policy.

Mr Barilaro backflipped the next morning after meeting the Premier, and the two released a joint statement saying the Coalition remained.

Ms Berejiklian said rogue Nationals MPs crossing the floor would not breach the Coalition agreement.

Two Liberal ministers, Police Minister David Elliott and Transport Minister Andrew Constance, have questioned Mr Barilaro's suitability as Nationals leader.

Customer Service Minister Victor Dominello said that with NSW in the midst of a pandemic, people wanted strong leadership.

"Leadership is given through action, being humble ... being focused on delivery rather than headlines," he said.