Prime Minister Malcolm Turnbull is expected to avoid a major reshuffle of his frontbench team after Sussan Ley's resignation, amid speculation Arthur Sinodinos is poised to take on the health portfolio permanently.

Mr Turnbull will consult with colleagues on Sunday before announcing Ms Ley's replacement in the coming days.

Prime Minister Malcolm Turnbull is not keen on a major reshuffle. Credit:Alex Ellinghausen

But sources close to the PM say he does not have any appetite for major changes just six months on from the election.

A number of insiders believe Senator Sinodinos is the frontrunner for the role. The cabinet secretary – and former chief of staff to former prime minister John Howard – has been filling in for Ms Ley in the critical portfolio since she stepped aside last Monday amid public fury over her travel expenses.