Djokovic, who won his first career title last week in the Netherlands, first beat Jiri Vanek in three tough sets Saturday to finish a rain-delayed quarterfinal, and then defeated four-time champion Carlos Moya.
Djokovic, 19, started Saturday with a set in hand, but Vanek won the second set before the fourth-seeded Djokovic survived to claim a 6-1, 3-6, 7-5, triumph. Hours later, Djokovic defeated Moya, 6-1, 7-5.
Fourth-seeded Moya was last year's runner-up to Guillermo Coria and won the title in 1996 and from 2001-03.
Wawrinka beat eighth-seeded Italian Filippo Volandri, 7-5, 2-6, 6-4. He denied Volandri his third trip to the final in four years.
Celebrity Families of 2014 [PHOTOS]