The dollar traded near its 3-1/2-week lows against its peers on Monday after data last week showed slower-than-expected wage growth.
The U.S. Dollar Index, which tracks the greenback against a basket of six major currencies, fell 0.15% to 93.62.
The data showed average U.S. hourly earnings gained five cents, or 0.2% in June after increasing 0.3% in May.
Meanwhile, nonfarm payrolls rise by a stronger-than-expected 213,000 in June, although its impact on currencies seem to be limited.