England must decide whether his replacement Chris Woakes, a straight swap in an updated 12-man squad announced on Monday morning, steps in or they give a debut to an extra out-and-out seamer in Jake Ball.
Both will travel up to join the squad after close of play on Monday, at the halfway mark in their County Championship matches.
Ball took two for 66 for Nottinghamshire against Hampshire but Woakes may have decisively staked his claim with a career-best nine for 36 as Warwickshire bowled out Durham for 190 at Edgbaston.
That prompted a response from England pace bowler Stuart Broad, who tweeted Warwickshire's bowling figures under the words: 'Oh wow @chriswoakes see you in Durham 2moro!'
Stokes' absence will also require flexibility in England's batting order - and Jonny Bairstow is open to promotion from his current No 7 berth.
Bairstow, England's man of the match with 140 and nine catches on his home ground in the innings victory at Headingley, has made a resounding success of batting at number five for Yorkshire over the past 12 months.
He said: 'I'll bat wherever.
'(No 5) is the position I bat for Yorkshire and keep wicket - so if that opportunity comes up, it comes up.
'I'm happy at seven.'
