The euro eased to $1.1223, losing steam after hitting a one-week peak of $1.1348 on Tuesday though the currency has maintained weekly gains of about 0.4%.
Sterling slipped to $1.2422, off this week's high of $1.2541 touched on Wednesday.
Also supporting the greenback was the broader rise in corporate demand towards the end of quarter.
That helped the dollar stay firm despite the stubbornly upbeat risk appetite seen in global equity markets, which comes even as new coronavirus infections surge.
"Stock prices remained supported but I doubt they could retain the current high valuations when more earnings results will come in next month," said Tatsuya Chiba, manager of forex at Mitsubishi Trust Bank. "At this point, risk currencies could slip again versus the yen."
Demonstrating to hit to business from the pandemic, footwear maker Nike reported a surprise loss on Thursday even though its online sales post a record rise.
The U.S. health crisis continued as new daily cases around the country climbed to record levels and governor of Texas temporarily halted the state's reopening as infections and hospitalisations surged.
"When you look at things like restaurant bookings data, it looks as if they are heading back to square one after a strong recovery," said Kyosuke Suzuki, director of forex at Societe Generale.
"If this continues day by day, people will likely have to review their recovery scenario."
Data on Thursday showed weak demand is forcing U.S. employers to lay off workers, keeping new applications for unemployment benefits extraordinarily high, even as businesses have reopened.
Initial claims for state unemployment benefits stood at a seasonally adjusted 1.48 million for the week ended June 20, down 60,000 from a week earlier but still double their peak during the 2007-2009 Great Recession.
Elsewhere, the Australian dollar fetched $0.6888, stuck in its rough $0.68-0.70 range in the past couple of weeks.
The Turkish lira stood flat after the country's central bank unexpectedly halted a nearly year-long easing cycle on Thursday, by keeping its key interest rate unchanged at 8.25% and citing upward pressure on inflation.
The Mexican peso hovered above a one-month low after Banxico, the country's central bank cut its interest rates by 50 basis points as expected late on Thursday.
(Reporting by Hideyuki Sano; Editing by Sam Holmes) ((firstname.lastname@example.org; +81 3 4563 2768;))