Conservative independent MP Bob Katter says the Turnbull government can't rely on his support should it slip into minority.
If the High Court rules Deputy Prime Minister Barnaby Joyce ineligible to sit and he loses a by-election in his safe New England seat, the government will need the support of one of five crossbenchers to survive.
"It's back to the drawing board," Mr Katter said, when asked on Tuesday about guaranteeing confidence and supply.
Another independent MP Andrew Wilkie said he would continue to approach all issues in the parliament on their merits and has "not guaranteed anyone anything".
Nick Xenophon Team MP Rebekha Sharkie said Mr Joyce - who has discovered he is a dual New Zealand citizen by descent - should step aside from cabinet while the court determines his eligibility.
But she said any suggestion of the government needing crossbench support was a "long, long way away".
"What I want to see is ... a stable government," she told Sky News.
"I won't be supporting party games but I do think we could have some greater certainty around cabinet."
Independent MP Cathy McGowan said her support for the government on questions of supply and confidence remained the same, despite the issue over Mr Joyce.
However she supports an audit of the citizenship status of all members and senators, and wants the register of MPs' interests to include a statement on citizenship status.
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