Mrs Prime, however, emphatically rejected the idea of doing a deal with NZ First. She remained dedicated to winning the byelection and would "fight hard to relieve the years of neglect by National".
"My nomination is lodged, my campaign has started, and I'm working hard on the ground to win people's votes. I am not standing down."
Mrs Prime said National had long taken the North for granted, leaving the region with high unemployment, struggling businesses and roads in a mess.
Instead of turning that around the National Government had instead cut $35 million from Northland's road funding in the past six years.
The byelection was a chance to send the Government a message, she said.
Meanwhile, Mr Peters was on the campaign trail in Wellsford and Kaiwaka during the week. The byelection, which is expected to cost taxpayers close to $1 million, was forced by the sudden resignation of National MP Mike Sabin for "personal reasons".