Newsroom reported that within weeks of laying a complaint with police about the alleged secret recording, Dickson spoke to a National Party board member.
She was quoted saying: "I was told if I didn't withdraw the police complaint I could potentially take down the National Party, and there was an [implication] that if National didn't have Barclay in Parliament they were one short to pass legislation."
Dickson said the board member told her a high-profile court case would be hard on her and her family.
Newsroom reported: "The board member explained to me if I withdrew my complaint I would be considered a hostile witness and the police would have not had a case."
Inquiries by the Herald have revealed Hughes was the board member Dickson referred to as making the call.
Hughes is a former police officer and national sporting champion who now works as a media and public relations consultant.
She holds a number of high-profile positions as a director on the NZ Racing Board along with her position as a director on the National Party board.
The Herald has attempted to contact Hughes on a number of occasions since learning her role yesterday afternoon. She has not responded.
The Herald has also attempted to speak to National Party president Peter Goodfellow to find if Hughes had placed the call at the request of the board, or if he had talked to her about it. He has also not responded to messages.
University of Otago law professor Andrew Geddis told the Herald that the call was "unwise" given Dickson had made a complaint which police were investigating.