The dollar index, which measures the greenback against six major peers, decreased 0.18 percent at 93.3827.
In late New York trading, the euro increased to 1.1783 U.S. dollars from 1.1759 dollars in the previous session, and the British pound fell to 1.3057 dollars from 1.3074 U.S. dollars in the previous session. The Australian dollar increased to 0.7154 U.S. dollar from 0.7119 dollar.
The U.S. dollar bought 105.76 Japanese yen, lower than 105.97 Japanese yen of the previous session. The U.S. dollar fell to 0.9144 Swiss franc from 0.9178 Swiss franc, and it decreased to 1.3342 Canadian dollars from 1.3385 Canadian dollars.
Traders paid close attention to talks in Washington on the next round of COVID-19 relief package.
The wrangle continued as U.S. lawmakers have not settled their differences over the size and scope of the relief bill.
More than 4.7 million confirmed COVID-19 cases have been reported in the United States, with over 156,000 deaths, as of Tuesday afternoon, according to a tally by Johns Hopkins University.
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