The Fed's 16-month campaign of steady tightening has taken overnight interest rates to 4 percent, and with the central bank expected to keep pushing rates up investors have increasingly shifted funds to the dollar.
Higher interest rates mean more attractive conditions for investors in dollar-denominated securities.
The dollar last traded at 1.3116/19 Swiss francs from 1.3116/21 in late trading in Europe on Tuesday. The euro stood mostly unchanged at 1.5424/29 francs from 1.5422/27 francs.
In Switzerland fourth quarter consumer confidence figures, due out on Thursday, are expected to support the Swiss economy's recent pick-up and underline hopes of an interest rate rise still in this year.