Tunnicliffe was later charged in relation to her death.
He has also pleaded not guilty to two other charges - careless driving causing injury and making a false statement in a logbook and exceeding the maximum period for continuous work while subject to work time restrictions.
McRae had worked in Counties Manukau since graduating from Police College in 2014 and was part of the family harm team.
After the crash, Counties Manukau District Commander Superintendent Jill Rogers said McRae was well-loved and respected by her colleagues across the district.
"Naomi's tragic passing has deeply affected a number of staff and friends in the police whānau."
Tunnicliffe will next appear in court in September.