The 24-year-old Saqib has played 16 white ball games for England, which include seven ODIs and nine T20Is, taking 21 wickets in total.
Bess who last played a Test in March, against India in Ahmedabad where he returned wicketless, has been called up as cover for left-arm spinner Jack Leach.
After spending around seven weeks inside the bio-bubble in India, the 23-year-old Bess is currently involved in the county season, looking to rediscover his form with Yorkshire.
Joe Root also confirmed that Foakes will keep wickets even after Jonny Bairstow returns to the squad after the second Test.
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