The Liberals' new federal president Nick Greiner says the party needs to put on a unified front.
Senior Liberals are at odds over the best way for Malcolm Turnbull and Tony Abbott to sort out their differences, but agree in-fighting can only benefit Labor.
New Liberal Party president Nick Greiner has told the prime minister and his predecessor to "be adults" and resolve their differences face-to-face for the good of the party.
Mr Greiner plans to talk to Mr Abbott - who has publicly argued for policy changes on issues from immigration to climate to win back conservative voter support for the Turnbull government - in coming weeks.
However, cabinet minister Arthur Sinodinos says there's no need for a meeting between Mr Abbott and Mr Turnbull.
"There's got to be less of this sort of talk now and really everybody agreeing to the ground rules, which are we are here to serve the public, our focus should be on what does the public want," Senator Sinodinos told Sky News.
"I think there's been too much of this wanting to talk about ourselves, the two of them can speak at any time if they want and I leave that to them."
Liberal MP Craig Kelly said Mr Abbott's interventions should be seen as positive for the party.
"We have to embrace differences of opinion - we have to say this is good and healthy and not detrimental," he said.
Cabinet minister Michael Keenan declined to say whether a meeting would be useful, saying Mr Greiner was making an "obvious point" about the need to end internal bickering.
"If we're talking about ourselves, if we're talking about our disagreements, then we're not really talking to the Australian people," Mr Keenan told reporters on the Gold Coast on Monday.
"We've got to do everything we can to stop Bill Shorten and the Labor Party from winning the next election. If that were to occur that would be a disaster for Australia."
Nationals leader Barnaby Joyce said in an interview with GQ magazine he believed the former prime minister was talking to himself.
"And he's got to stop," he said.
A special Liberal Party convention to be held in Sydney this weekend will keep the spotlight on the party's internal processes and differences between Mr Abbott, who hails from the NSW party's conservative wing, and Mr Turnbull, who is a moderate.
Mr Abbott, who says the party has been taken over by factional warlords and lobbyists, will be arguing for wholesale reform of the party's processes to allow a greater say in candidate and senior official selection for grassroots members.
However, Mr Turnbull is expected to reject the Abbott model - known as the "Warringah motion" - and support a compromise set of reforms which would see a gradual transition to candidate plebiscites.
Under the compromise, at least two-thirds of Liberal preselections in NSW federal and state seats would be conducted by plebiscite.
Those voting in the plebiscites would need to show four years continuous financial membership of the Liberal Party and meet an "activity test" such as a minimum attendance at branch meetings.
Party insiders say the final wording of the compromise won't be known until later in the week.
Mr Turnbull will address the meeting on Saturday morning, with the debate over plebiscites set down for Sunday morning.