The former overall World Cup champion sustained the injury, which was not believed to be serious, while playing volleyball in training on Saturday.
Miller was still hoping to take part in next week's races in Val Gardena and Alta Badia, Italy, the spokesman added.
The 32-year-old suggested he was recapturing his best form by placing fifth in a super-combined event and ninth in a super-G over the previous two days.
(Reporting by Patrick Vignal. Editing by Alastair Himmer)