Tammy is forecast to affect a number of islands, including Antigua and Barbuda, Barbados, St Kitts and Nevis, Leeward Islands and Dominica, prompting a Foreign Office alert.
The National Hurricane Centre (NHC) has put 10 islands on hurricane watch, meaning hurricane conditions are possible within a certain area.
The NHC said: “A watch is typically issued 48 hours before the anticipated first occurrence of tropical-storm-force winds, conditions that make outside preparations difficult or dangerous.”