A federal anti-corruption commission now appears to be a live option, with legislation to establish a body that would investigate corruption likely to be introduced into Parliament before Christmas.

The election of independent Kerryn Phelps in the Wentworth by-election has boosted the numbers of crossbenchers in the House of Representatives who have put the establishment of a federal integrity commission at the top of their wish list.

The Federal Government has been hostile to the idea in the past, with former prime minister Malcolm Turnbull wary of such bodies because of his experience representing Kerry Packer in the Costigan Royal Commission.

The Senate has requested the House of Representatives debate the motion when it next sits.