Fifth seed Stan Wawrinka beat American Donald Young to set up a possible US Open quarter-final against Andy Murray.
The French Open champion from Switzerland, 30, won 6-1 1-6 6-3 6-4 on Arthur Ashe Stadium.
Women's second seed Simona Halep, 23, came from a set down to beat Sabine Lisicki 6-7 (6-8) 7-5 6-2.
Murray faces South African Kevin Anderson later on Monday, while fellow Briton Johanna Konta meets Petra Kvitova in the women's fourth round.
Murray faces South African Kevin Anderson later on Monday, while fellow Briton Johanna Konta meets Petra Kvitova in the women's fourth round.
Swiss second seed Roger Federer takes on American John Isner in the second match of the night session after Konta-Kvitova.
They did not appear to hinder the 20th seed, who celebrated her 6-3 6-4 win over American Lepchenko with an on-court dance afterwards.
She also revealed the reason for the patches, saying: "I got a blister from rubbing against my shirt. It's a little embarrassing."
The Belarusian, twice a beaten finalist at Flushing Meadows, will now meet Halep for a place in the last four.

The sisters will play each other for the 27th time when they open the night session at 00:00 BST on Wednesday.
Serena, 33, has not lost a Grand Slam match since Wimbledon 2014 and hopes to win the first calendar Slam since 1988.
"No-one is out to be a spoiler, but at the same time you're focused on winning your match," said Venus, 35.
But she added: "I think people love to see history being made."
"No-one is out to be a spoiler, but at the same time you're focused on winning your match," said Venus, 35.
But she added: "I think people love to see history being made."
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