The Australian veteran defeated Kazakhstan's Galina Voskoboeva 3-6 6-2 6-3 at Pat Rafter Arena to set up the clash with two-time Australian Open champion Azarenka.
Shortly afterwards Queensland teenager, and Dellacqua's doubles partner, Ash Barty eliminated former world No.5 Daniela Hantuchova to move into the second round herself.
Dellacqua, 28, freely admits she's unlikely to overcome a player 140 places higher than her world No.142 ranking but if the West Australian was fazed by the draw she wasn't giving much away.
"At this point in my career that I get to play an opponent like Vika is a great opportunity, and I'm going to enjoy the moment in front of the Australian crowd and just try and do what I do well," she said.
"Whatever happens will happen. Certainly want to enjoy it and enjoy being out there playing a little bit of tennis."
Dellacqua, who was always likely to face a tough second-round clash after being pitted in the side of the draw featuring five current or former world No.1s including 17-time grand slam champion Serena Williams, is just enjoying rebuilding her singles career after a troubled run with injury and illness.
Despite losing the opening set in humid conditions, Dellacqua bounced back strongly to take out the match in one hour and 52 minutes.
"I'm very excited with the thought of playing someone like Vika just to really see where I'm at," she said.
"It'll be another test for me and another challenge.
"You play to play on the show courts and play with the best players in the world."
Barty, who had earned her spot in the main draw through qualifying, defeated 2012 finalist Hantuchova in some style, winning 6-3 7-5.
The 17-year-old next plays the winner of Monday night's clash between third seed Maria Sharapova and France's Caroline Garcia.
In other women's first round matches, former world No.1 Jelena Jankovic eliminated former French Open champion Francesca Schiavone, eighth seed Carla Suarez Navarro beat Su-Wei Hsieh and 2012 winner Kaia Kanepi eliminated Alexandra Panova.