The pace bowler experienced pain in his right arm during the tourists’ victory in the series opener and has received an injection in the joint.
A statement from the ECB read: “Jofra Archer will miss the second Test against India in Chennai starting on Saturday after having an injection in his right elbow.
“The issue is not related to any previous injury and it is hoped the treatment will allow the condition to settle down quickly, allowing the player to return to action in time for the third Test in Ahmedabad.”
Archer’s injury is the second late setback England have suffered on the tour, with Zak Crawley taking a tumble on a marble floor and injuring his wrist ahead of the first Test.
England could choose to cover for Archer by recalling Stuart Broad and retaining James Anderson, having previously erred towards rotating the experienced duo on this trip.
If, on the other hand, they intend to keep one 90mph option, there could be a chance for Olly Stone.
With Mark Wood in transit from England having been rested until the third Test, Stone represents the quickest option available to captain Joe Root.
England lead the four-match series 1-0.