Djokovic has also been drawn to possibly meet six-time champion Roger Federer in the semifinals.
If they do make the last four, it will be their sixth meeting in the last eight Grand Slams. Federer opens against Albert Ramos of Spain.
Second-seeded Rafael Nadal, a two-time champion, meets Thomaz Bellucci of Brazil first up, and could face Andy Murray in the semifinals.
Former champ Lleyton Hewitt, entered on a wild card, takes on fifth-seeded Jo-Wilfried Tsonga in the first round.
On the women's side, Maria Sharapova, who is top seeded for the first time, has a first-round match with Anastasia Rodionova of Australia, and defending champ Petra Kvitova plays Akgul Amanmuradova of Uzbekistan.
Sharapova and Kvitova could meet in the final for a second straight year.