The likelihood is that the three players still getting their international bearings, Auckland trio Michael Bates, Colin de Grandhomme and Ronnie Hira, will all play. They certainly fit the category of needing game time to which Woodhill referred.
Woodhill has an idea of how New Zealand are progressing in terms of readiness for the far superior challenge of South Africa, out of the visit by battlers Zimbabwe.
"We're playing good cricket, even though with the team we're playing at the moment there's an expectation we'll win, and win well.
"If we continue to play good cricket we'll get some pretty good results against South Africa."
Competition among the New Zealand players was "massive", Woodhill added, "and that drives practice and drives the players in matches, and also leads to good performances."
Woodhill also said regular captain Ross Taylor, recovering from a torn calf, remained on course to return for the ODI series, starting in Wellington on February 25. But he confirmed no chances would be taken.
"It's similar to Jake, we want to make sure he's right before he plays again. If he needs a bit more time, then so be it. But at this stage he's tracking well."
Test trio Dan Vettori, Trent Boult and BJ Watling will play for Northern Districts in their Plunket Shield game against Central Districts in Gisborne, starting on Friday.
The match will double as preparation for the trio before the first South African test, starting on March 7 in Dunedin.
Watling will keep wicket ahead of regular gloveman Peter McGlashan, who is omitted. Vettori is unavailable for ODIs and T20 internationals and left arm swing bowler Boult is unwanted in the short forms.
NZ V ZIMBABWE
Second T20 international
Seddon Park, Hamilton,
7pm today
New Zealand: (from) Brendon McCullum (c), Rob Nicol, Kane Williamson, James Franklin, Colin de Grandhomme, Andrew Ellis, Nathan McCullum, Doug Bracewell, Ronnie Hira, Kyle Mills, Tim Southee, Michael Bates.
Zimbabwe: (from) Brendan Taylor (c), Hamilton Masakadza, Tino Mawoyo, Stuart Matsikenyeri, Forster Mutizwa, Regis Chakabva, Malcolm Waller, Tatenda Taibu, Elton Chigumbura, Shingi Masakadza, Ray Price, Prosper Utseya, Keegan Meth, Kyle Jarvis, Brian Vitori.