England planned to have Sam Curran available for the fourth Test against India, but the all-rounder will now only play limited-overs games.
England head coach Chris Silverwood says Moeen Ali understands England's team management have his best interests at heart.
India fast bowler Umesh Yadav will undergo a fitness test before joining up with Virat Kohli's squad for the third and fourth Tests.
Virat Kohli celebrated a thumping Test win over England, with the India captain lauding Axar Patel and Ravichandran Ashwin.
An 18-ball 43 on day four of the second Test was Moeen Ali's last involvement in England's series against India, Joe Root confirmed.
The second Test was wrapped up by India's spinners on day four, with Axar Patel delivering a five-for on his debut against England.
Spin bowling consultant Jeetan Patel expects England to take a positive approach as they battle to avoid a huge defeat against India.
India are closing in on a huge series-levelling victory in Chennai after another dream day for Ravichandran Ashwin.
It was another memorable day for Ravichandran Ashwin as the spinner claimed his 29th five-wicket Test haul to leave England on the ropes.
India are well on course to levelling the series at 1-1 in Chennai, where they lead England by 249 runs with nine wicket in hand.