With the dust still settling from the exits of both Williams sisters from the tournament, No.3 seed Wozniacki made light work of the gusty conditions to wrap up a 6-3, 6-3 victory.
"It was a bit of a different match, a little bit tougher conditions today. But I was happy with the way I managed to keep cool and deal with her tricky lefty serves - I was pleased with it."
Venus Williams' withdrawal ahead of her second-round match resulted in Wozniacki taking court a little earlier than expected, but she took the change of schedule in her stride, finishing both sets strongly to wrap up victory after an hour and 18 minutes.
? WTA (@WTA) January 4, 2017
"I was in my room and I got a text asking where I was, and I was like, what do you mean? Then I found out Venus was pulling out and I needed to play a little earlier and started to stress out because I wasn't ready."
The former World No.1 will now play Julia Goerges, against whom she has a mixed record, winning four of their eight encounters, including two years ago in Auckland.
"She's a tough opponent, a tough match-up for me," Wozniacki added. "But I'm excited for it, it's going to be a good challenge. I've played her here before and done well, so I'm hoping I can play another good match and win."
Goerges booked her spot by prevailing over Naomi Broady, 7-5, 6-4, in the battle of the big servers. Also advancing were Barbora Strycova, who edged past Lucie Safarova, 7-5, 3-6, 7-6(4), and Jelena Ostapenko, a 6-2, 7-6(3) winner over Mirjana Lucic-Baroni.