Cibulkova is the lowest-ranked player left in the women's draw. The 45th-ranked Slovakian was a semifinalist at last year's French Open but had never been past the third round at Flushing Meadows.
Kuznetsova reached a second U.S. Open final in 2007 but hasn't made it beyond the fourth round since.
Story continues below ↓advertisement | your ad here"I think she plays good, but my level is higher, and I have to win these matches," Kuznetsova said.
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