Proteas speedster Rabada was suspended for the two remaining Tests against Australia after racking up sufficient demerit points for making "contact" with visiting skipper Steve Smith during the second Test at St George's Park in Port Elizabeth. If cleared, he could play in the Newlands Test that starts on Friday.
Kagiso Rabada, named man of the match with figures of 11-150 as South Africa squared the four-match series at 1-1, was handed three demerit points, prompting an automatic two-match suspension for the accumulation of eight demerit points within a 24-month period.
Heron will have 48 hours to arrive at a decision once the hearing is complete.
Michael Heron QC of New Zealand has been appointed as the Judicial Commissioner for the hearing, which will be held via videoconference.
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A contrite Rabada said "I can't keep doing this because I'm letting the team down and I'm also letting myself down" during his post-match media conference in Port Elizabeth.
Although there was contact made with Smith, Rabada has maintained it was accidental.
Rabada's public admission, though, which came after a discussion with his father, suggested he was all but resigned to sitting out the final two matches of the series.
"I think all of us, black and white, all South Africans, they really feel bad that Rabada has been found guilty of the crossing of the line regarding what he has been charged with", Ntini said.