Anderson was ruled out in June while in England, and missed the recent tour to Zimbabwe and South Africa. He’d been in line for a return Down Under, but has instead been replaced by rookie Mitchell Santner.
Black Caps selector Gavin Larsen said: “Corey hasn’t been able to recover as quickly as we hoped and we’ve chosen not to try to rush him back.
“We’ve always said there were a number of checkpoints for him to meet before our departure date, and we’re now in a position to confirm he’s not ready.
“With that in mind, it’s better for him to continue his rehabilitation at Lincoln.
“Mitch clearly isn’t a direct, like-for-like replacement for Corey – but in terms of the bigger picture he’s an allrounder who can bat at No. 6 or 7 and he’s also a front-line bowler.
“It’s a good opportunity for him. We believe his left-arm spin will add some variety to our options and his batting is well-suited to the conditions expected across the Tasman.”
The first Test will be played in Brisbane on 5 November. The third match of the series, in Adelaide, will be the first-ever day-night Test.