Opposition Leader Angus Taylor has pledged to democratise the Liberal Party, saying he understands members' frustration as they desert the coalition for One Nation.
The party's recently appointed president Tony Abbott, a former Liberal prime minister, has personally phoned members of NSW branches to try to stop them leaving, according to The Sunday Telegraph.
Pauline Hanson's party is now the most popular in Australia, leading both Labor and the coalition on primary votes, according to multiple opinion polls.
Asked about Mr Abbott's bid to quell members' concerns, Mr Taylor said he understood their sense of frustration.
"They want a better Liberal Party and, particularly in NSW, we have seen a number of members of the party frustrated at the lack of democracy in the party," he told Sky News on Sunday.