Cycling New Zealand High Performance Director Amy Taylor said they were currently working through the implications for the road and track teams.
Bryony Botha, Michaela Drummond, Emily Shearman, and Wollaston are in the Commonwealth Games 4000m Pursuit team.
The event involves four cyclists, racing 16 laps (4,000m) of the track.
It is unlikely that female riders from the wider New Zealand cycling team would be able to step in for Wollaston.
A Cycling New Zealand spokesman said inquiries around potentially replacing Wollaston are being made and they'll know Wednesday evening New Zealand time if it's possible.
The only cycling reserves named for Birmingham were two male road riders.
The 21-year-old former world junior track champion was only meant to ride the first three stages before leaving for the Commonwealth Games,.
Equally adept on the road, Wollaston is the current under-23 road champion and elite criterium champion, and she won the GP of Morbihan for her Dutch NXTG Racing professional road team.
- RNZ