Bumrah, the best bowler in the world, was outstanding at Headingley, claiming 5-83 in England’s first innings.
He has his own history with injuries, including a recent back problem, and India announced before the tour that he will only play in three Tests. After the loss in Leeds, head coach Gautam Gambhir said there would be no deviation from the plan.
Speaking on Monday, former Essex captain Ten Doeschate said: “He’s had eight days to recover from the last Test. Given conditions and workload, and how we think we can best manage for the next four games, we haven’t made a call on that.”
In the hot, dry conditions in Birmingham, Ten Doeschate also admitted a second spinner could join Ravindra Jadeja in the Indian XI.
Left-arm wrist-spinner Kuldeep Yadav, who tormented England on their tour of India last year, is one option, while off-spinner Washington Sundar would add greater depth to the batting line-up.
As England trained on Monday, they were joined by former all-rounder Moeen Ali, who was on hand at his home ground in a coaching role.