A bird census in 2010 at Mataraua, home to the only viable population of kokako in Northland, showed numbers were high enough to allow the transfer.
Mr Dawn said conditions at Mataraua deteriorated yesterday so experts hoping to catch the last pair would have to wait up to a week for the next suitable weather window.
Next to be caught and transferred would be two males, originally from Puketi, who had been placed on a pest-free island in Bream Bay for safekeeping. Trustee Gary Bramley said the group was trying to transfer pairs in the hope they would stay together and breed.
Recorded kokako calls were being played to persuade the birds to stay in the core pest-trapping area. If the birds moved the volunteers would have to expand the trapping area, with rats and possums their main threat.
The kokako project is led by the trust with help from the Department of Conservation, Te Roroa and Piki Te Aroha Marae. About 1400 kokako survive in the North Island
The number clinging on at Puketi before Friday's release was not known but could be as low as two. Go to www.puketi.org.nz