Jadeja sustained a hamstring injury during play on Day 4 of the first Test in Hyderabad while Rahul complained of right quadriceps pain.
The BCCI Medical Team is monitoring the progress of the duo.
The Men's Selection Committee has added Sarfaraz Khan, Sourabh Kumar and Washington Sundar to India's squad.
Saransh Jain has been named as a replacement for Washington Sundar in the India A squad for the third and final multi-day game against England Lions starting February 1 in Ahmedabad.
Avesh Khan will continue to travel with his Ranji Trophy team, Madhya Pradesh and will join the Test squad if required.
Updated squad
Rohit Sharma (C), Shubman Gill, Yashasvi Jaiswal, Shreyas Iyer, KS Bharat (WK), Dhruv Jurel (WK), Ravichandran Ashwin, Axar Patel, Kuldeep Yadav, Mohammad Siraj, Mukesh Kumar, Jasprit Bumrah (VC), Avesh Khan, Rajat Patidar, Sarfaraz Khan, Washington Sundar, Sourabh Kumar.
