The development comes close on the heels of South Africa losing Vernon Philander due to multiple ligament injuries in his left ankle.
Steyn was ruled out after he failed to recover fully from a groin injury suffered during the first Test in Mohali.
"Obviously losing Dale, the best bowler in the world and Vernon, arguably the best all-rounder in the world certainly changes the dynamics of the side," South Africa skipper Hashim Amla told reporters before their net practice at Chinnaswamy stadium yesterday.
The 31 year old Steyn did not bowl in the second innings in Mohali after he experienced tightness in his groin during the second day of the opening Test.
However, Amla was hopeful of Steyn recovering in time for the next Test to be played at Nagpur beginning November 25.
"I am hopeful Steyn will recover well on time for the third Test at Nagpur," he said.
Soon after Philander was ruled out of rest of the series due to multiple ligament injuries in his left ankle, Cricket South Africa flew in Kyle Abbott as replacement.
Replying to a query, Amla said that Abbott could replace the injured Steyn.
Asked whether the decision to fit Abbott into the squad was taken late because Steyn was injured during first Test, Amla said, "Even if Vernon was playing, we knew we had three quality seamers in the team. So I don't think it matters too much. Vernon hurt his ankle just yesterday, these things happen. Sometimes you get fairytale stories from these situations," the South African skipper said.

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