Olympic champion Jakara Anthony will miss the next World Cup moguls event in Georgia after undergoing surgery on a broken collarbone.

Anthony had made a solid start to the season, finishing second in Ruka, Finland before topping the podium in Idre Fjäll, Sweden last weekend.

She suffered the collarbone injury in a training fall before the dual moguls event in Sweden, however did not miss competing after it was cancelled due to poor visibility.

"Jakara sustained an injury during World Cup training at Idre Fjäll that will rule her out of the upcoming event in Georgia," Anthony's manager Julia Brukner said.

"She has had surgery on her collarbone in Oslo and will travel to Australia to commence her rehab."

Anthony is expected to arrive in Melbourne early next week.

With this weekend's World Cup round in Alpe d'Huez in France cancelled due to a lack of snow, Anthony was next targeting the event in Bakuriani, Georgia on December 20-21.

The 26-year-old was looking to defend both the singles and dual moguls titles she won in Georgia last season.

There is more than a month before the next round in Waterville in the United States on January 24-25, giving Anthony time to recover.

Anthony and French skier Perrine Laffont are locked at the top of the World Cup standings on 180 points after both winning a gold and silver in the opening two events.

The Australian dominated last season, storming to 14 World Cup victories, however it was in the absence of 2018 Olympic champion Laffont, who took the year off.

AAP