"Royal Caribbean will assist any pregnant women who do not feel comfortable sailing to countries affected with the Zika virus by providing alternate itinerary options," a statement says.
Passengers also may receive a cruise credit good for two years. This applies to Celebrity as well.
Cruise lines also are providing their passengers with information about the Zika virus before their trip.
Two airlines -- United and American -- on Tuesday announced they would allow pregnant women to change their travel plans to areas affected by the Zika virus.
The Zika virus is spread by mosquitoes. It causes brain damage, a condition called microcephaly, in babies born to mothers who were bitten when they were pregnant.
The U.S. Centers for Disease Control first issued a travel warning to pregnant women Jan. 15. Now it warns that they may be at risk in 22 countries, including Mexico, Puerto Rico, Dominican Republic and the U.S. Virgin Islands.
The agency has issued a Level 2 travel warning, meaning pregnant women should take measures to avoid mosquito bites. Insect repellents, particularly those containing DEET, and wearing long-sleeved shirts and long pants can help.