Venus Williams isn't having any trouble advancing at the U.S. Open, unlike many of the other top women's seeds.

The two-time Open champ beat No. 27 seed Alona Bondarenko of Ukraine 6-2, 6-1 on Saturday to move on to the fourth round. The seventh-seeded Williams has lost just 11 games in three straight-set wins.

Four of the top 10 women's seeds have lost, including No. 1 Ana Ivanovic. Williams and sister Serena are the only two former champs still alive in the draw.

Serena was set to play later Saturday. A win, and the sisters would be one victory away from a quarterfinal matchup.

Venus will face No. 9 seed Agnieszka Radwanska of Poland in the fourth round. Radwanska beat 18th-seeded Dominika Cibulkova of Slovakia 6-0, 6-3.

Radwanska defeated Williams in their lone meeting, a straight sets victory in Luxembourg in 2006.

"I'm looking forward to evening the score, I guess," Williams said. "She played well that time and I'm looking forward to continuing to move well and serve well."

Also scheduled to play later Saturday was men's No. 1 seed Rafael Nadal.

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