Overton, 31, has played only one first-class match since May, partly because he suffered an injured finger playing for England in a one-day international against West Indies in the same month.
Atkinson enjoyed a stellar debut year in Test cricket in 2024, claiming 52 wickets, but has endured a frustrating summer.
The 27-year-old injured his hamstring in the one-off Test against Zimbabwe and has now not played any first-class cricket in more than two months.
Atkinson played an amateur game for club side Spencer two weeks ago and had a fitness examination at Old Trafford two days before the fourth Test.
England deemed him to be too much of a risk, so he was released to Surrey, for whom he played in the second XI last week.
Tongue, 27, played in the first two Tests of the series against India, taking 11 wickets.
He has remained in the England squad throughout, then was released last week to play in the final two days of Nottinghamshire’s County Championship match at Hampshire.