Galo Blanco also quit with a groin injury. That meant Flavio Saretta, a Brazilian ranked 78th, will face Agassi.
Conditioning is a strength for Agassi and Serena Williams, who next plays No. 16 Ai Sugiyama and announced: "I came in here really, really fit."
Of all her wonderful shots against Schett, the most impressive display came on the first set's final point.
Williams raced to retrieve a drop shot that she scooped over the net while sliding into the doubles alley. Reversing direction, she hit a lunging backhand that carried her across the other sideline as the ball plopped in.
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