He is playing his first tournament since suffering serious injuries in a car accident in December 2022 that kept him out of last year's IPL as well as the 50-overs World Cup in India
Stokes limped off with a knee injury during England's first Test victory at Leeds and further scans ruled him out of the second match, which begins at Chester-le-Street on Friday.
Allrounder Woakes, who has won six Test caps, will play the second day of a county match for Warwickshire on Monday before joining up with the England squad on Tuesday.
England won the first of the three Tests at Headingley by an innings and 88 runs.