The 28-year-old Nottinghamshire batsman, who has 11 Tests and 40 ODIs under his belt, suffered the injury during January's disastrous tour of India.
However, having been left out when the original squad was announced on January 27, he has been summoned after a scan confirmed he has sufficiently recovered although he will still have to undergo rehab when he gets to the West Indies to ensure he is fully fit.
England's Hales out of Windies ODIs
Hales, who last year made England's highest individual ODI score, 171 against Pakistan at his Trent Bridge home ground, will rejoin his international teammates three days before the first match in Antigua on March 3.
Hales tweeted:
https://twitter.com/AlexHales1/status/836262791518515200
"Alex Hales arrives tomorrow evening local time," confirmed the England and Wales Cricket Board. "He will continue his rehab with us until the medical and coaching teams deem he is fit enough to join the squad officially."
Bairstow replaces injured Hales for India T20Is
England are due to play a three match ODI series against the West Indians, two games in Antigua and one in Barbados.
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