A level two offence carries three or four demerit points, while a level one offence carries one or two, meaning Warner could be banned for one Test, while the heaviest penalty De Kock faces is a fine.
The first Test finished on Monday, but Australia's 118-run victory in Durban was marred by incredible leaked footage of Warner being restrained by teammates as he raged at de Kock.
Match referee Jeff Crowe is believed to be looking into the incident but there has been no comment yet from the International Cricket Council.
Darren Lehmann has thrown his support behind Warner, declaring both Australia and South Africa will continue to push boundaries but personal sledging has no place on a cricket field.
Australia captain Steven Smith said Warner's reaction was triggered by "personal" comments from De Kock, but the South Africa camp alleged that the tourists had also used personal words that crossed the line.
Ex-Australia wicketkeeper-batsman Adam Gilchrist refused to take sides in regards to both incidents, but admitted that they tarnish the image of cricket to those who may not know much about the sport.
As expected, the David Warner-Quinton de Kock fracas continued to give social networking sites plenty of traction on a cricket-filled on Tuesday (March 6).
"What he said got a little bit personal towards Davey and, as we saw, it certainly provoked an emotional response".
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Taking on to twitter, Warne wrote, "Chat, banter, sledging has always been a part of any series between SA & Oz. If you are saying something you've got to take it and that's the opinion of Quinton", he said.
It was the second heated incident involving Warner, who, along with Nathan Lyon, could be scrutinised over their conduct in celebrating the run-out of AB de Villiers earlier in the Test series opener.
"There are things that cross the line and evokes emotion and you've got to deal with that behind closed doors and get better at that".
Former England captain Michael Vaughan suggested Warner had a reputation as a sledger and it was only a matter of time before insults were hurled back.
South Africa's manager Mohammed Moosajee claims Warner peppered de Kock with personal barbs during play.
"Play the game hard, play the game competitively".
"I'm sure the captains will chat and the coaches will chat and we'll get away to play the game", he added. "If I don't hear that then I'm disappointed", he said.
"We play our best cricket when we're aggressive, we're in the fight together, we're hunting as a pack", Smith said.