The Swedish beat Ukrainian Kateryna Bondarenko in two straight sets, 7–6 (7–2), 7–5.
Peterson, who has had injury and illness problems, is ranked seventh in the tournament. In the quarterfinals, either American Lauren Davis or Dutchman Arantxa Rus await.
Rebecca Peterson was allowed to leave the Australian Open on January 21 after losing to Polona Hercog. Since then she has not played any competition matches due to a sloping back.
CLIP: SVT Sport meets Rebecca Peterson in USA (January 19, 2020)
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