Having already retained the Rose Bowl Trophy with a 1-0 lead after two games, Australia are aiming to continue their run of dominance over New Zealand in all formats.
Healy will again play as a batter only, leaving Beth Mooney to keep the gloves as Australia's captain battles to return from a knee injury.
The match is the team's last before the start of next month's multi-format home Ashes.
Australia have looked in good touch in the past fortnight, soundly beating India in three ODIs before the New Zealand tour.
The first game in Wellington was then washed out on Thursday, before Annabel Sutherland's century led them to a victory in the second match on Saturday.
Australia have won 28 of their past 30 matches against New Zealand in all formats.
Australia: Alyssa Healy (capt), Phoebe Litchfield, Ellyse Perry, Beth Mooney, Annabel Sutherland, Ash Gardner, Tahlia McGrath, Alana King, Kim Garth, Megan Schutt, Darcie Brown.
New Zealand: Suzie Bates, Bella James, Amelia Kerr, Sophie Devine (capt), Brooke Halliday, Maddy Green, Lauren Brown, Izzy Gaze, Rosemary Mair, Molly Penfold, Eden Carson.
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