The safe-haven yen hit a two-week high against the dollar, rising to 107.00 per dollar.
The Swiss franc, another safe-haven, flirted near its highest level in six weeks against the euro, at 1.0619 franc per euro.
Against the dollar, the franc changed hands at 0.9419 per dollar after having touched a four-month high of 0.93625 to the dollar.
The euro shed 0.1% to $1.1273, slipping back from a one-month high of $1.1371 on Thursday.
Thursday's weekly data showed the number of Americans filing for initial jobless benefits dropped to a near four-month low last week.
Still, with companies from retailers to airlines announcing job cuts and furloughs, the outlook remained highly uncertain.
There were 32.9 million people receiving unemployment checks, putting together all programs, in the third week of June, up 1.411 million from the middle of the month.
"Although we have seen improvements in economic data, people are beginning to think that is just a natural outcome of economic reopenings. Now they are starting to worry more about increasing infections," said Minori Uchida, chief currency strategist at MUFG Bank.
Many risk-sensitive currencies took a step back following their rally in recent weeks.
The Australian dollar lost 0.3% to $0.6942, off Thursday's one-month high of $0.7001.
The yuan, which often tends to align with risk-sensitive currency groups, bucked the trend, supported by hopes of capital inflows as Chinese shares prices have surged after Beijing indicated it wants a healthy bull market.
The offshore yuan traded at 7.005 yuan per dollar, down about 0.1%, having touched near-four-month high of 6.9808 on Thursday.
The Chinese currency has gained almost 1% so far this week, outpacing many others in the same time.
In addition to stock investments and hopes of a recovery in the world's second-biggest economy, higher China debt yields are also attracting foreign capital, said Dmitriy Vlasov, portfolio manager at East Capital in Hong Kong.
"We have had quite a big inflows in the fixed income markets as interest rate differentials are also leading to the appreciation of the yuan."
(Reporting by Hideyuki Sano; Editing by Lincoln Feast & Shri Navaratnam) ((firstname.lastname@example.org; +81 3 4563 2768;))