Since the first edition in 1991, the hosts have always qualified for the knockout stages and New Zealand will advance if they win. Qualification will also mark the first time in six attempts they have reached the knockouts.
Tie-breaking criteria may come into play if New Zealand draw, depending on Norway's result against the Philippines, while a loss will definitely see the Football Ferns eliminated.
Norway, however, will be without injured striker Ada Hegerberg (28) after the Ballon d'Or winner failed to recover in time from a groin injury that saw her withdraw from the previous game before kickoff.
Germany and Colombia are top of Group H with three points each ahead of their clash on Sunday and the European side's quest for a third title was dealt another blow when they lost a third defender to injury.
"We know what type of backup options we have... We take some strength from that. We want to basically be in that mindset where it doesn't matter who's standing there on the actual pitch," she said.
Colombia had their own scare when teenaged striker Linda Caicedo (18) collapsed in training but coach Nelson Abadia said the teenager, who became the youngest player to score in the tournament, is fine.
"She was tired. She was a bit stressed as well, because she was playing in her first World Cup," Abadia said.
"It was just an episode, it's finished, it's over. We're quite happy about this, no problem."