Stokes was a doubt for the match at Chester-le-Street after sustaining a “niggle at the back of his left knee” during England’s third Test defeat against India.
However, after being reassessed by England’s medical team on Thursday, Stokes was granted permission to play for his county as a batsman.
Stokes scored 10 and 62 during the third Test at Trent Bridge on his return to international duty with England after being cleared of affray following an incident outside a Bristol nightclub.
The 27-year-old was named in England’s 14-man squad for the fourth Test at the Ageas Bowl, which gets underway on August 30.
Durham qualified for the last eight of the Vitality Blast after finishing second in the North Division, while Sussex came third in the South.
Lancashire face Kent in the opening quarter-final tie on Thursday, live on Sky Sports Main Event, with England internationals Jos Buttler, Sam Billings and Keaton Jennings set to feature.
Watch Durham take on Sussex in the second Vitality Blast quarter-final, live on Sky Sports Cricket from 6pm on Friday.