The 32-year-old skier beat two Austrians, Cornelia Huetter by 12/100th and Mirjam Puchner by 13/100th.
This Saturday race was initially supposed to be a downhill but, due to the weather, the training scheduled for Thursday and Friday could not take place and the event was transformed into a super-G while a second super-G, planned in the program, will be organized on Sunday in the Norwegian station.
The Swiss, who took the lead in the general standings of the World Cup with Shiffrin's injury at the end of January in Cortina d'Ampezzo, is now 305 points ahead of her rival.
The American continues her convalescence and should return to competition next weekend in the Swedish resort of Are, where a giant and a slalom are planned, before the finals in Saalbach, Austria, from March 16 to 23 for the women.
Gut-Behrami therefore signs an eighth success this season, the best record of her career, and a 45th victory in the World Cup, she who has the second best record of active alpine skiers behind Shiffrin, men and women combined.