Government MPs are joining growing calls for a "full audit" of MPs' citizenship status, with one describing the ongoing constitutional saga as the "death of a thousand cuts" of the Parliament.

Craig Kelly, Liberal MP for the Sydney seat of Hughes, said the Australian Electoral Commission was best placed to conduct the audit.

"There's virtually an informal audit being done by the media, which is like a death of a thousand cuts," he told the ABC's Lateline program on Tuesday night.

"I think the best way to bring this to a head, to draw a line in the sand, let's have a full audit of everyone's record, put this behind us and move on and then, going forward, everyone will be crystal clear what the rules are."