The WhatsOnStage Award-nominated show had previously posted notices for the end of its booking period on 26 April.
The world premiere production opened to mixed reviews at the Shaftesbury on 23 October 2013 (previews from 30 September).
It follows the lives and loves of a group of soldiers stationed on the Hawaiian island of Oahu in 1941, before and during the Japanese attack on Pearl Harbour which led to the US engagement in the Second World War.
The musical is directed by Tamara Harvey, designed by Soutra Gilmour and choreographed by Javier De Frutos.
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