A decision into the future of Green MP Darleen Tana could be made within days.
It comes after Tana was suspended in mid-March amid allegations she was linked to migrant exploitation at cycle company, E-Cycles NZ, owned by her husband.
"On March 14, it came to our attention that Ms Tana may have had some prior knowledge of the allegations," a statement from Marama Davidson and Chlöe Swarbrick said at the time.
The Greens appointed an independent lawyer to investigate the matter.
Barrister Rachel Burt was asked by the Green Party on March 14 to conduct an independent investigation into the allegations.
Green Party co-leader Marama Davidson told The Hui host Julian Wilcox the investigation into Tana was nearing an end.
She said people had been interviewed and the report's recommendations or findings were being pulled together "right now".
"So, we know we are coming towards the end of that independent investigation," Davidson said.
Challenged by Wilcox about the time Tana had been waiting for a decision on her future, Davidson defended the length of the investigation saying the Greens always expected it to take two to four weeks.
"The investigation was always going to be robust and careful, to make sure it does what it needs to do, which is talk to the right people.
"We don't apologise for the investigation taking too long."
Pressed on whether the report would be out next week, Davidson responded she expected it "about a month from when [Rachel Burt] started".
The allegations came to light nearly two months after Golriz Ghahraman's resignation from the Greens after she was charged with shoplifting from several stores.