The US currency has been underpinned in recent weeks by several comments from Federal Reserve officials vowing to keep inflationary pressures at bay and suggesting the central bank will not stop raising rates anytime soon.
The dollar last traded at 1.2934/37 Swiss francs, up slightly from 1.2923/25 francs in late trading in Europe on Friday. The euro stood at 1.5439/40 francs, down marginally from 1.5450/53 francs on Friday.
Domestically, Swiss debt markets fell last week to price in a high chance of an interest rate rise in December, after Swiss National Bank Chairman Jean-Pierre Roth surprised markets by saying borrowing costs were too low now.
"Altogether, interest rates at 0.75 percent are too low, that is clear, for an economy growing 1 percent this year and maybe more next," SNB Chairman Roth told reporters on Thursday.