Archer, who has played in 78 international matches across all formats and picked up 137 wickets, has struggled with injuries throughout his career, including elbow injuries and back issues that sidelined him for long periods.
Wood, who has represented England in two ODIs and five Twenty20 Internationals, last played for the country in 2023.
"(Archer) will be reassessed by the England medical team over the next fortnight to determine when he may return to action," the ECB said in a statement.
England's three-match ODI series against the West Indies is set to begin on May 29th at Edgbaston.