South African-born Neil Wagner has been named in the squad after being under an injury cloud. He hurt the ring finger of his left hand while fielding for Otago last month.
As Black Caps coach Mike Hesson confirmed yesterday, Black Caps ODI opener Martin Guptill hasn't been re-called to the test arena after being told to work at becoming a middle order batsman in the domestic competition first.
Selector Gavin Larsen said Patel's variety was the primary reason for his inclusion.
"Jeetan brings the ability to spin the ball away from the left-handers, which complements our other spinner in Mitchell Santner nicely," said Larsen.
"He brings a huge amount of experience to the team and gives us the balance of having two front-line spin options."
Larsen said Neesham's form has also warranted his inclusion, while Wagner had been cleared to take part.
"Jimmy has impressed so far this summer and we've seen improvement in his game. He gives us another option and is also very familiar with the conditions at University of Otago Oval.
"Having Neil back and available is fantastic news for us. Neil's been our leading wicket-taker in recent times and is a key player for us.
"He's worked extremely hard to get himself ready for the series and we expect him to be fit and ready to go come the first Test."
Squad: Kane Williamson, Jeet Raval, Tom Latham, Ross Taylor, Henry Nicholls, James Neesham, Mitchell Santner, BJ Watling, Colin de Grandhomme, Tim Southee, Neil Wagner, Trent Boult, Jeetan Patel.