The cruise operator had to suspend activities at ports in China resulting in the cancellation of voyages in other parts of Asia.
The dual New York and London listed said a suspension of all Asian operations to the end of April would hit 2020 results by US$0.55 to US$0.65 per share, including guest compensation.
In the year to 30 November, earnings per share came in at US$4.34.
The full extent of the damages will be understood once the outbreak is over, the cruise company added, while it evaluates plans to mitigate the blow.
Shares rose 2% to 3,193p on Wednesday afternoon.