Neesham was initially left out of the team but he will join fellow provincial team-mate Neil Broom at Lincoln for the three-day game against the West Indies. He replaces Colin Munro, who has been ruled out with illness. Martin Guptill has also been ruled out with a hamstring injury.
Otago left-armer Neil Wagner is also unavailable. He has joined the Black Caps to prepare for the first test against the West Indies in Wellington next month.
Volts coach Rob Walter has filled the gap left by the trio with in-form Albion all-rounder Shawn Hicks, seamer Nathan Smith and legspinner Michael Rippon. Hicks scored 81 not out to help Otago A beat Canterbury A last week and backed up by scoring a club century during the weekend, so he is in good nick.
Smith played for Otago in the opening round but a niggly side injury and exam commitments have ruled him out for two of the last three games.
While Hicks and Smith are like-for-like replacements for Neesham and Wagner, Rippon's inclusion is perhaps a little surprising.
He has been in great form with the ball, picking up five wickets in club cricket on Saturday. But he is effectively replacing Broom and will bat in the top order.
With Josh Finnie ruled out with a dislocated finger, Walter did not have a lot of other options. And Rippon filled in as a makeshift opener last season so he has some experience.
''[Rippon] is a genuine all-rounder. He opened the batting for us last year so he gives us that cover from a batting point of view.''
Fast bowler Warren Barnes made a strong first-class debut two weeks ago but his workload is being carefully managed ahead of the limited-overs campaigns.
''The key for us is to be really smart about how we manage him. We got him through that four-day game which was awesome.
''But he certainly wasn't running in at full steam by the end of the game but that was to be expected given it was his first four-day outing.
''We really didn't want to risk losing him for the short-format campaigns.''
