A Liberal senator believes Human Rights Commission president Gillian Triggs should be replaced immediately.
James Paterson, who previously worked with the free-market think tank Institute of Public Affairs, believes Professor Triggs - whose five-year term expires in July - has failed in her duty to uphold freedom of speech and religious liberty.
"For that reason I'd be very happy to see her go and replaced as soon as possible," he told ABC radio on Tuesday.
Prof Triggs revealed to a parliamentary hearing on Monday the government had not spoken to her before recently announcing her tenure wouldn't be extended.
Nevertheless, she was happy to wrap up her five-year stint in July because she didn't want her term extended - advice she gave to Attorney-General George Brandis 18 months ago.
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Prof Triggs used the hearing to express regret to any senators offended by published remarks in which she labelled her detractors "ill-informed and uneducated".
Coalition senators were unimpressed by her refusal to detail the commission's actions in a case involving students at Queensland University of Technology and an indigenous staff member.
Senator Paterson noted Prof Triggs had been prepared to discuss the case with Leigh Sales on ABC TV's 730 program but not before a parliamentary committee.
