The Green Party says the Minister for the Accident Compensation Corporation should take action now over a recording of a meeting between corporation staff and claimant Bronwyn Pullar.
Ms Pullar was mistakenly emailed details of more than 6000 ACC claimants and raised the privacy breach with two staff from the ACC at a meeting in December last year, which she says she has recorded.
The ACC claims she threatened to go to the media about the breach unless she was guaranteed a benefit for two years, but Ms Pullar denies that.
The Green Party says the recording is clearly important in determining the accuracy of the claims made by ACC and the information must be released now.
ACC Minister Judith Collins says she is aware a recording may have been made, but will not get involved.
"It's actually quite unconstitutional for a minister to interfere in police investigations - and there's a police investigation going on now.
"And I would think that anyone who has anything that is evidence, such as a tape recording or a transcript, that they should provide that to police."