Gayle, 34, suffered a stiff lower back after the first T20 international against Ireland on Wednesday and did not play in Friday's second game. He will have treatment in Jamaica.
The one-day series against England begins on February 28 with further matches on March 2 and 5 before three Twenty20 internationals in Barbados.
(Writing by Ken Ferris; Editing by Greg Stutchbury)
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