"Absolutely, categorically.
"There is no ulterior thing that will happen here."
All MPs have now signed the privacy waiver.
National's deputy leader Paula Bennett and shadow leader of the House Gerry Brownlee are overseeing the investigation.
Today's National caucus is the first time it has met since Speaker Trevor Mallard overturned his decision to hold an inquiry into who might have leaked the travel expenses to Newshub.
On August 23 Mallard named Michael Heron QC to conduct the investigation.
But he cancelled it on August 24 after it was publicly revealed that Newshub, Mallard and Bridges had received an anonymous text from someone claiming to be a National MP and pleading for the inquiry to be called off for the sake of his or her mental health.
Bridges was not entirely convinced it was from a National MP but Mallard said the text was from someone who was clearly very disturbed and publicity around the text would make that worse whether the person was an MP or a staffer.
The police know who the leaker is but are refusing to say. Bridges referred the text to the police and they traced the person out of concern for their welfare.
Brownlee would not guarantee that the result of the inquiry would be made public and hinted that if the culprit was identified and had genuine mental health issues that it might not be.
"That will entirely depend on the circumstances," he said yesterday.