Immigration Minister Peter Dutton has emerged as a new champion of the Liberal Party's conservative wing following Scott Morrison's elevation to the position of Treasurer.

Mr Morrison had been seen, until the September leadership spill that saw Malcolm Turnbull replace Tony Abbott, as politically close to the former prime minister and the leading light in senior conservative ranks.

But almost immediately since the change of leadership and his elevation to Treasurer, the hard right of the party have been questioning Mr Morrison's loyalty to the conservative cause.

Revelations in Fairfax Media on Monday that Mr Turnbull offered Mr Morrison the position of treasurer in a Turnbull government in February, seven months before Mr Abbott was dumped, have further damaged his cause.