McCullum crashed heavily into advertising hoardings, in an example of his trademark desperation in the outfield.
There have been close shaves in recent years from which the skipper has emerged unscathed. But Hesson doesn't believe McCullum should dial back the outfield determination.
''No, that's been a huge part of our change in culture in the last couple of years, his intensity in the field and the fact he sets the standard.
''We don't do things by halves. We're fully committed in the field. If an injury occurs then so be it. But we have changed our standards in the field and it's something we want to keep."
Hesson is confident fast bowler Adam Milne, who sat out the second game with a heel niggle, will be ready to play tomorrow, Hesson added.
Kane Williamson, who has missed the first two games in the series with a sore knee, is expected to play and will lead the side tomorrow if McCullum doesn't make a rapid recovery.