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Wiese made the announcement in a series of tweets, saying she's shown only mild symptoms - a loss of taste and smell.
Wiese also called for tests to be made more available to the public, revealing she was denied twice despite her symptoms.
Wiese was playing in Spain during the WNBA's winter offseason when the coronavirus pandemic shut down the country's women's basketball campaign earlier this month. AE Sedis Basquet supported her decision to immediately return home just days before the United States implemented a complete travel ban from Europe, Wiese told The Orange County Register's Mirjam Swanson last week.
The 24-year-old is the first WNBA player to reveal a positive test for COVID-19. However, Las Vegas Aces star Liz Cambage said Monday she believes she survived a "severe case" of the virus in December while playing in China.