Surrey's Reece Topley has been included for additional support as a travelling reserve and will join the England party in due course.
The England and Wales Cricket Board revealed that Curran complained of lower back pain following Chennai’s outing against the Rajasthan Royals on Saturday.
“Results of the scan revealed the injury. He will fly back to the UK in the next couple of days and will have further scans and a full review later this week from the ECB’s medical team,” ECB’s statement read.
The England players and management not in the IPL arrived at their Muscat base on Tuesday and will remain in Oman until 16 October after completing a mandatory quarantine period.
They will then head to their tournament base in Dubai before starting their campaign on 23 October against West Indies.
England, who are in a group with Australia, South Africa and two first-round qualifiers, will play warm-up matches against India, on 18 October, and New Zealand two days later.