The dollar index, which measures the greenback against six major peers, fell 0.18 percent at 96.0879.
In late New York trading, the euro increased to 1.1405 U.S. dollars from 1.1393 dollars in the previous session, and the British pound was up to 1.2580 dollars from 1.2555 U.S. dollars in the previous session. The Australian dollar rose to 0.6998 U.S. dollar from 0.6968 dollar.
The U.S. dollar bought 106.95 Japanese yen, lower than 107.20 Japanese yen of the previous session. The U.S. dollar was up to 0.9455 Swiss franc from 0.9391 Swiss franc, and it fell to 1.3508 Canadian dollars from 1.3621 Canadian dollars.
"The virus has now cost the dollar its role as a safe haven as the crisis has hit the heart of the U.S.," Antje Praefcke, analyst at Commerzbank Research, said in a note Wednesday.
More than 3.46 million confirmed COVID-19 cases have been reported in the United States, with nearly 137,000 deaths, as of Wednesday afternoon, showed a tally by Johns Hopkins University.
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