Chubb said the visit was likely to spark interest.
A visit by a rare World War II de Havilland Mosquito in2013 drew an estimated 1000 people despite just one day's notice.
Chubb said Hercules aircraft used to land at Onerahi once a month to pick up banknotes printed at the nearby "money factory".
Past visits by Australian Hercules aircraft have included touch-and-go landing exercises in which the wheels contact the ground briefly before the aircraft takes off again.
A C-130J Super Hercules has a wingspan of 40 metres and weighs 34 tonnes. The aircraft is designed to operate from short or unprepared airstrips.
In 2020 the New Zealand government signed a $1.5 billion deal for five new C-130J-30 Super Hercules planes. The current C-130H fleet dates back as far as 1965.
The aircraft is used in disaster relief, search and rescue, and military transport operations, as well as supplying New Zealand's research base in Antarctica.
One RNZAF Hercules flew to the UK last week to help deliver military aid donated to Ukraine. It will not fly to Ukraine but to key distribution centres around Europe.
■ An earlier version of this story stated incorrectly that the Super Hercules was due to visit on Saturday. The Advocate apologises for the error.