The Kent player sustained the issue during training on Wednesday.
David Willey and Reece Topley are back in the fold for the three matches.
Ben Stokes led the way again in England’s 2-1 series win.
The 34-year-old was dropped for this week's match against the West Indies after another underwhelming display in the first Test.
Broad was left out on home soil for the first time in eight years at the Ageas Bowl.
Denly has yet to make a hundred in 15 Tests.
Zak Crawley’s impressive form may lead to Denly being left out for the second Test against the West Indies.
Only 17.4 overs were possible on day one in Southampton.
Dan Lawrence has emerged as a contender.
The Kent batsman has won four Test caps.