The 2018 Olympic gold medallist said at an event in Milan that she did not yet know how long a full recovery would take.
"It could be anything from 10 days to a month and a half," she was quoted as saying by ANSA.
Goggia is the second Italian alpine skiing star to say she will miss Soelden, joining Olympic champion Federica Brignone, who is still recovering from a leg injury.
Speaking at the same event, Brignone said she wanted to return to skiing, but "only when I feel better," ANSA reported. She gave no indication of when that might be.