Prime Minister Scott Morrison banned outspoken Liberal MP Craig Kelly from appearing on the ABC's flagship Q&A program last month in an attempt to moderate public perceptions of the government on climate change.

Privately, many Liberal MPs are concerned about the government's climate change position, arguing it was a weakness in the election campaign despite Mr Morrison's surprise win.

Prime Minister Scott Morrison banned Liberal MP Craig Kelly from appearing on the ABC's Q&A program. Credit:Alex Ellinghausen

Mr Kelly was due to appear on Q&A on September 16, but a few days before the show it was announced that he would be replaced by Liberal senator James Paterson.

The week prior to the program, Mr Kelly spoke at an Australian Monarchists League function where he claimed the South Pacific island nation of Tuvalu was "floating, not sinking [due to climate change]", because it was a coral atoll and "a coral atoll actually floats on the ocean".