The duo's absence in Tests against the Proteas means that India will be tested on the opening front as well as in their lower-order batting and five bowlers' combination.
Dravid has been credited with blooding youngsters and making them fit to take field at international level.
T Natarajan is racing against time to be battle-ready, making him doubtful for at least the early part of India's five-match T20I series against England.
The opener is out of reckoning for the first two Tests against Australia, but can now be there for the last two games.
The pacer will begin his rehabilitation at the National Cricket Academy in Bengaluru.
The development comes after the criticism the NCA drew for the injury management of leading India players, including Wriddhiman Saha and more recently Bhuvneshwar Kumar.