The government has dismissed reports that maverick Coalition backbencher George Christensen drafted a resignation letter and has threatened to "go rogue".

The Queensland MP, a conservative populist and avowed fan of US President Donald Trump, drew up the letter to Prime Minister Malcolm Turnbull when feeling frustrated over a tense sugarcane dispute in his electorate, according to The Daily Telegraph.

Mr Christensen's threat was that he would withdraw support for the government unless a code of conduct for the sugar industry was established. He has reportedly contemplated an arrangement where he would jump to the crossbench but seek to sit in on Nationals party room meetings.

Nationals leader Barnaby Joyce said Mr Christensen "has a strong belief in the National Party and the things that we fight for".