For the 24 hours to 23:00 GMT, USD rose 0.22% against the CHF and closed at 0.8811.
In the Asian session, at 3:00GMT, the pair is trading at 0.8788, 0.26% lower from the New York session close.
The Federal Open Market Committee (FOMC) minutes of the latest meeting indicated that the Federal Reserve held extensive discussions about its exit strategy from the ultra accommodative monetary policy that has supported the US economy.
In the US, mortgage application volume on a seasonally adjusted basis, increased 7.8% from one week earlier.
The pair has its first short term resistance at 0.8830, followed by the next resistance at 0.8871. The first area of support is at 0.8763 levels, with the subsequent support at 0.8737.
With no major release from Switzerland, the pair is expected to trade on trends in the greenback.
The currency pair is trading just below its 20 Hr moving average and its 50 Hr moving average.