Neesham backed the decision to trim the match against a Cricket Australia XI, starting in Sydney tomorrow, from four to three days.
New Zealand will head to Brisbane on Sunday to get in an extra day's preparation in conditions far more likely to mirror what they'll find at the Gabba when the test starts next Thursday.
''We've discussed it and decided to downplay the fact of the bounce in Brisbane," Neesham said.
''We have the Basin Reserve at home which has similar characteristics. Baz (captain Brendon McCullum) talked the other day about not getting overawed about the fact it will be quick and bouncy and treat it as another game in Wellington."
Neesham admitted Australia's record at Brisbane - not having lost a test there since 1988 - was "a little overawing" but the priority is to look after what New Zealand are doing rather than fret over what Australia might do.
"The main thing is to look after ourselves. We know we have a strong team, and settled unit, and if we play the way we can, it should put us in good stead."
New Zealand's recent consistency in form - they have won four and drawn three of their last seven series - is down to that settled squad, he said.
"When you're playing side by side with the same guys day in day out you get to a point when you are more consistent with your results. I suppose that's an accolade to Hess (coach Mike Hesson) and the selectors have to take for keeping faith with the guys."