Cricket Australia (CA) has launched an investigation after cricketer Cameron Bancroft admitted he tampered with the ball on Saturday in Cape Town, and Australian captain Steve Smith said he knew of the plan in advance.
Two senior CA officials will travel to South Africa to "gather relevant information", but Smith will remain as captain for now.
Television footage showed Bancroft take what he said was yellow tape out of his trouser pocket before rubbing the ball.
Captain Smith said it was a "big mistake" but added he would not stand down.
He said the team`s "leadership group" had spoken about it and "thought it was a way to get an advantage".
Former Australia batsman Simon Katich told Melbourne-based radio station SEN News that CA had "no option" but to sack Smith, vice-captain David Warner and head coach Darren Lehmann, while ex-fast bowler Rodney Hogg also called for Smith to step down, for what he called "blatant cheating".
South Africa ended the third day in Cape Town on 238-5 in their second innings, a lead of 294 runs.