Azarenka, who titled in Sydney last week by beating Li Na in the marquee finale, beat veteran Czech left-hander Iveta Benesova, 6-2, 6-2, on Sunday. Azarenka has yet to drop a set at this year's first major.
The match, which lasted 77 minutes, saw Azarenka take advantage of 26 unforced errors from Benesova. Next up for Azarenka will be No. 8 seed Agnieszka Radwanska, who beat No. 22 seed Julia Goerges, 6-1, 6-1.
Azarenka, who is on a nine-match winning streak, moved to 4-0 all-time against Benesova.