The survival prospects for the Turnbull government continue to narrow, with another key crossbench member of Parliament withdrawing support.

Rebekha Sharkie of the Nick Xenophon Team said that Prime Minister Malcolm Turnbull needed to stand aside from his cabinet two ministers with citizenship problems, pending a High Court ruling on their eligibility.

Ms Sharkie told Fairfax Media on Friday that "I am quite frustrated with the Prime Minister" for retaining in cabinet Deputy Prime Minister Barnaby Joyce and Regional Development Minister Fiona Nash.

Mr Turnbull was showing "disrespect to the Australian community" and she has decided she will no longer support the government on the survival matters of confidence and supply.