Wilson (27) was rucked during a club game in Owaka last Thursday night and was taken to Dunedin Hospital and operated on for more than four hours.
He told the Otago Daily Times on Tuesday he believed it was a deliberate and malicious act which has left him facing months of rehabilitation and unable to return to his building job until the end of the year.
However, Jenkinson said no malice was involved.
"It definitely was not malicious," the coach said yesterday. We definitely do not go out to try and hurt anyone. We just try and play a good honest game."
Jenkinson acknowledged it happened on the other side of the field, so he did not get a good look.
But he was adamant there was no foul play.
"The referee on the night did not have a problem with it, the touch judge was right there, and we never heard the crowd booing.
"Unfortunately, it was just one of those nasty accidents that happens in a contact sport from time to time."
Jenkinson said the team was surprised by the seriousness of the injury and checked the ground at training on Tuesday night in case anything sharp there could have cause the laceration.
In a press release, Otago Rugby Football Union chief executive Richard Reid said the union was investigating the incident.
"Obviously, a serious injury occurred and we're concerned about that," Reid said.
"We're also concerned about the player's welfare and we want to establish as much as we can the circumstances in which the injury occurred.
"We shall be trying to do that in conjunction with the Country board, which had responsibility for the game involved."
Otago Country board chairman Peter Gallagher said until the facts had been established he was reluctant to comment.
He attended a Rugby Council meeting in Dunedin last night at which he said the incident would be discussed.
Gallagher said he was not aware of any bad blood between the clubs and described the rivalry as "friendly".
If it was found malicious intent was involved, Gallagher said Otago Country would follow the New Zealand Rugby Union judicial guidelines.
ORFU amateur rugby manager Justin Gardner has spoken to some of the people involved, including the referee, Marthinus Hendriks.
Information is also being gathered from players, officials and medical staff who attended to Wilson.
The ORFU hopes to complete the investigation by Monday.
NZRU general manager of community rugby Brent Anderson confirmed the organisation had received a serious injury report.
"First and foremost we are concerned when any player suffers an injury like that," he said.
"Our thoughts go out to Luke and we wish a speedy recovery for him."
Wilson was involved in another incident 10 years ago.
In May 1999 he was suspended for 13 weeks after kicking a player in the head while playing colts rugby for Clutha Valley against Clutha.