The dollar index, measuring the greenback against a basket of six currencies, was 0.27% higher at 90.036. The index hit a four-month low earlier in the session.
"We continue to expect the USD to remain soft while US yields remain contained," Osborne said.
In the US services industry, activity eased in April from a record level in March, likely due to shortages of inputs amid a burst of demand, data from the Institute for Supply Management showed.
The dollar index, which measures the greenback against a basket of peer currencies, was last at 91.262 after rising as high as 91.436 earlier in the session, its highest since April 19.
"Until the bond market gets the heebie-jeebies over the inflation fears again I think the long dollar position remains under assault," he said.
Treasury yields have also fallen this week after the Treasury Department saw solid demand for new sales of three-, 10- and 30-year debt on Monday and Tuesday.
The consumer price index jumped 0.6% last month, the largest gain since August 2012, after rising 0.4% in February, the Labor Department said on Tuesday. Excluding the volatile food and energy components, the CPI rose 0.3%. The so-called core CPI nudged up 0.1% in February.
The dollar briefly spiked on the data, before reversing course and dipping to three-week lows. Treasury yields also fell after the data.
The dollar's performance has been tied to US Treasury yields for most of 2021, after concern about rising inflation in the United States and a stimulus-fuelled economic rebound triggered a jump in Treasury yields.
The dollar index was last down 0.11% against a basket of currencies at 92.108. It is holding above a three-week low of 91.995 reached on Thursday.
The greenback has generally risen at the same time as stocks gain. Investors are now watching to see if that relationship continues as it may indicate a shift in how the currency responds to improving risk appetite.
"The trickiest thing for markets right now is to figure out what the dollar's sensitivity is to good US economic news," said Erik Nelson, a macro strategist at Wells Fargo in New York.