If Stokes is deemed fully fit for Durham, he could also play in the third international Twenty20 against India on July 8.
England are seeking to continue a winning run that saw them to an ODI series whitewash of Australia this month.
Batsman Sam Billings, who has failed to impress for England in his past two call-ups, has been left out of the squad.
All-rounder Sam Curran, who made his ODI debut against Australia last week, has also failed to make the cut.
Fellow all-rounder Chris Woakes is still recovering from a thigh muscle tear and persistent knee injury but could return for the latter part of the India series.
Team: Eoin Morgan (captain), Moeen Ali, Jonny Bairstow, Jake Ball, Jos Buttler, Tom Curran, Alex Hales, Liam Plunkett, Adil Rashid, Joe Root, Jason Roy, Ben Stokes, David Willey, Mark Wood.
(Reporting by Aditi Prakash in Bengaluru; Editing by David Goodman)
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