"This is about customer reassurance. We want to make sure that people can have confidence in our vehicles and we're saying we'll fix it free of charge."
In addition to the 21,145 Toyotas which were sold new here that are potentially affected, there would be a number of used cars that had been imported from Japan which could also be faulty.
"I wouldn't expect it to be more than the New Zealand-new number," Mr Morris said.
"We will need to talk with the Transport Agency to identify who owns those cars, and we will also write to those people and they will also receive repair free of charge if necessary."
It would take about an hour to replace the switch.
In August, Toyota New Zealand recalled its Camry, Camry Hybrid and Aurion vehicles built between October 2011 and July 2012 due to a fuel hose that, in some cases, developed a small hole and could leak fuel.
About 1800 vehicles were recalled.