Smith has been handed a one-match ban by All Blacks management after it emerged he had taken part in an incident in a disabled toilet at Christchurch Airport with a woman who was not his current partner.
He faces a disciplinary hearing now he is back in the country.
Witnesses said the pair were in the cubicle for several minutes as the team prepared to fly out to Argentina on September 18.
"The pair were in the bathroom for 5-10 minutes and from the noises coming out of the bathroom there was absolutely no questions what the couple were doing in there," the witness said.
The father of Smith's partner Teagan Voykovich yesterday said his family were and his daughter was just trying to get through the ordeal.
"Teagan is doing as well as can be expected," Michael Voykovich told the Herald.
"Don't want to comment too much - it's for her to sort out in private."
He added that as Teagan's father, "it was a real shock to hear what happened. But I don't want to say anything that's going to affect the process they are going through."
A tearful Smith on Thursday fronted media at the team's hotel in South Africa, apologising to Ms Voykovich, their respective families and All Black fans.