Australia travelled to Port Elizabeth on Tuesday with a 1-0 lead in the four-Test series and some unwanted baggage, created by Warner's heated run-in with de Kock.
Asked whether there would be talks between the two sides in a bid to reduce hostilities, Lehmann said: "I'm sure the coaches will chat and the captains will chat and we'll get away to play the game".
The same charge has been levelled at de Kock, but his punishment will be less severe as it is a level-one infraction.
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.
De Kock's sister has come out swinging at the Australian opener personally calling him out on Twitter.
"We like to make them feel uncomfortable out there, but we don't cross the line and bring people's wives and family into it".
Lehmann said the key was to avoid personal insults.
According to media reports, the incident has been handed in the hands of on-field umpires and match referee.More news: Take Your Pick: Snow, Heavy Rain Possible in Next Nor'Easter
The South African camp retorted that whatever was said was payback for Warner's own aggressive sledging of De Kock and other Proteas players out on the field.
"Getting personal on the field is not on".
Warner was involved in another unsightly incident on the field during the opening test in Durban, when he unleashed a withering verbal spray at Aiden Markram after the rookie opening batsman was culpable in running out AB de Villiers in the South Africa's second innings.
Ex-England captain Michael Vaughan responded to Warne by saying: "Correct Warney.but it's clear plenty of personal nonsense has been spoken & the man in question I hear from many has been doing it for a while so I guess someone eventually was going to touch a nerve with a response".
Proteas team manager Mohammed Moosajee suggested Warner got personal in his sledging and "whatever happens out on the field, you giving something you've got to take it".
"I'm sure the captains will chat and the coaches will chat and we'll get away to play the game", Lehmann said. "I think the less interest you take in him the better".
"Australian teams have generally been at the top of the pile, not every minute of those times, but generally they're a very competitive, world-class team, and some would say they don't need to do that".
"We play our best cricket when we're aggressive, we're in the fight together, we're hunting as a pack", Smith said.