A senior Coalition backbencher has called for the controversial religious discrimination bill to be scrapped because it is too "flawed", saying it should be replaced with a new, single framework for all anti-discrimination laws.

The appeal from NSW Liberal Concetta Fierravanti-Wells comes as Attorney-General Christian Porter says "sensible" issues have been raised about the second draft of the bill and he will undertake yet another round of consultations with community and religious groups before introducing it to Parliament.

Senator Concetta Fierravanti-Wells wants a new consolidated anti-discrimination framework, instead of the government's proposed religious discrimination bill. Credit:Alex Ellinghausen

Senator Fierravanti-Wells, who has been a vocal critic of the Morrison government's religious discrimination plans, told The Sydney Morning Herald and The Age a different approach was needed due to continued concerns from religious Australians about the proposed bill.

"I have come to the conclusion that no bill is better than this flawed bill," she said.