The NRL is investigating whether others were involved in Jai Arrow's bubble breach on the Gold Coast in the lead up to Wednesday's State of Origin III.
The Queensland forward has already been fined $35,000 and suspended for two games for bringing a woman into Maroons camp, but the NRL is yet to close the investigation.
The NRL's integrity unit is looking into whether more players or staff were involved, or whether there was more than one person brought into the bubble by Arrow.
"It's an ongoing investigation and we want to make sure we get to the bottom of what happened," NRL chief executive Andrew Abdo said on Nine's Footy Show.
"There's two obvious reasons for that, one is for a biosecurity and safety reason and the other is for an integrity reason.
"We've been looking at all possible information that we have and we want to get to the bottom of that and we want to conclude that (on Sunday).
"At this stage, we have no additional information that implicates anyone else in that investigation but we want to bring it to a close so the team can focus on the upcoming game on Wednesday night with the Gold Coast.
"Our job is to make sure they get to the bottom of what's actually happened as much as we can."
The NRL needs to be confident it has all the details of the incident to properly coordinate with state governments over exemptions that allow the competition to continue.
Biosecurity breaches like Arrow's and the St George Illawarra players have put those exemptions in jeopardy.
"It's not just the Queensland government, it's the credibility we want to have for the licence to play in the community," Abdo said.
"It's not a right for us to be able to continue playing our sport when we're suffering like we are.
"Businesses haven't been able to operate and people have been asked to stay at home.
"We're very conscious of the fact that we operate on an exemption that's based on us doing the right thing and we've got a strict set of protocols for a reason, to keep everyone safe."
Australian Associated Press