Coalition MPs who voted for Peter Dutton have urged new Prime Minister Scott Morrison to "show that we're listening" on the hot-button issue of immigration by making modest changes to Australia's migrant program.

As the dust settled from the week's seismic events culminating in a leadership change, supporters of Mr Dutton pledged to back their new leader and stop the infighting that delivered the country its fifth leader in five years.

Several MPs agreed it would be good for Peter Dutton to return to the home affairs portfolio. Credit:Alex Ellinghausen

Mr Morrison is the first former immigration minister to become prime minister since Harold Holt.

Liberal MP Craig Kelly, a Dutton backer, said on Saturday he still believed the immigration intake was "slightly too high". But he - alongside others - argued the case for directing migrants to regional areas rather than making dramatic cuts to the intake.