Liberal Sen. Lucy Gichuhi told Scott Morrison that she was not intimidated in relation to the disorderly leadership competence of the party.
The South Australian senator had threatened to use parliamentary privilege to publicly release his colleagues accused of harassment and intimidation during last month's liberal leadership crisis.
But Mr. Morrison said that Senator Gichuhi had told him that leadership was not the heart of the problem.
"She made it very clear to me that in terms of the events in Canberra and the spill of the address, she told me very clearly that she was not intimidated by anyone here in Canberra in relation to that matter," she told ABC TV. on Tuesday.
The prime minister said that there are other issues at stake, including how party divisions are handled, but that gender has not been a factor in people's behavior and that names have not been provided.
"There were no specific gender actions related to what some would call very intense lobbying, which is quite normal in the political process, although not uplifting," he said.
When Labor asked him if he or the whips of the party were in charge of handling the complaints, Mr. Morrison said he had "great interest" in the welfare of all his coalition colleagues.
A spokesman for Sen. Gichuhi told AAP that he left the prime minister to address the issue, so he will not name the accused to be harassed.
"Regarding intimidation in my political career: yesterday I had a conversation with Prime Minister Scott Morrison, the prime minister has dealt with the issue," Senator Gichuhi said on Twitter on Tuesday.
"We must live and work in a way that respects and improves ALL liberties of ALL Australians, Australia says NO to harassment and intimidation."
In the Senate, Cabinet Minister Mathias Cormann said that he and the prime minister got together with colleagues like Senator Gichuhi "on a regular basis."
"We are not going to start holding private conversations in the Senate, but each individual senator can of course express their views in relation to their own circumstances as they see fit," said Senator Cormann.
When asked if the intimidation occurred during the struggle for liberal leadership, Senator Cormann said: "We work in a particular workplace where exchanging views and trying to convince each other of the merits of our policy and personnel arguments is part of our core business, from time to time we go through difficult periods. "
However, he added that there was no place for intimidation in any workplace.