Liberal senator Lucy Gichuhi has promised to use parliamentary privilege to name and shame colleagues she claims bullied her during the party’s leadership chaos.

The South Australian senator is calling for the Liberals to adopt a formal dispute resolution structure, describing the current process as a pure “kangaroo court”.

Senator Gichuhi said she had been told to take bullying and intimidation claims to the state president of the Liberals.

“We need a formal structured, protected way of dispute resolution,” she told ABC radio.

Scott Morrison, Malcolm Turnbull and Mathias Cormann were major players in the leadership turmoil.

Aside from her experience during last month’s leadership tensions, Senator Gichuhi also said she was intimidated during her ultimately failed preselection bid in July.

The former independent revealed she was asked if Malcolm Turnbull was the right man to lead the coalition to the next election two months before the plot became public.

“For that question to arise then, something was already happening, I guess,” Senator Gichuhi said.

She was subsequently relegated to the unwinnable fourth position on the Liberals’ SA ticket for the next election.

Victorian Liberal MP Julia Banks also cited instances of bullying and intimidation by Liberal MPs when announcing her resignation last week.

Julia Banks has led the bullying claims. Photo: AAP

Senator Gichuhi said during the leadership spill she laid in bed and hoped she didn’t wake up for fear of media reports about the saga.

“I will detail my experience with the PM’s spill, because this is a culture. This is a systematic kind of issue,” she said, confirming she would outline her claims in parliament next week.

The Kenyan-born politician said colleagues’ preselections had been threatened as retribution for voting in leadership ballots.

Prime Minister Scott Morrison is refusing to say whether Liberal MPs accused of bullying will be publicly named and shamed.

Minister for Women Kelly O’Dwyer will investigate the bullying claims. Photo: AAP

Mr Morrison is now working with Minister for Women Kelly O’Dwyer and Chief Whip Nola Marino to investigate the claims.

“This is about ensuring a positive culture in our party and our party organisation as well,” he told 3AW radio on Monday.

-AAP