Marise Payne met with senior Thai officials in Bangkok a day after Australia announced it would assess the request for asylum by 18-year-old Rahaf Mohammed Alqunun, who was stopped Saturday at a Bangkok airport on her way to Australia and her passport seized.
Thailand's immigration chief Surachate had earlier told reporters Friday that "two or three" countries were ready to offer her asylum.
"She will fly to Canada at 11:15 pm tonight (1615 GMT)", immigration chief Surachate Hakparn told AFP.
Canadian officials were not immediately available for comment.
The UN refugee agency UNHCR had referred Qunun's protection request to Australia on Wednesday, though it had not been confirmed before now that Canada was also considering her case.
After the 18-year-old refused officials' attempts to have her board a flight from the Thai capital to Kuwait on Monday, she barricaded herself inside an airport hotel room and took to social media to start a campaign that ended up garnering global attention to her case.
The office of the U.N. High Commissioner for Refugees quickly deemed her a legitimate refugee.
Several women had been forced to return home in recent years, they say, adding that many similar cases had gone unreported.
The Thai immigration chief, Surachate Hakparn, had told reporters the United Nations was accelerating the case, though he gave no indication of when the process would be complete.
"Canada has been unequivocal that we will always stand up for human rights and women's rights around the world", he said.
Qunun's Twitter account was no longer active on Friday.
Qunun had previously expressed wanting to come to Canada on her Twitter account, which was deleted on Friday after getting death threats, Reuters reported.
"Canada, as you know, has been closely following the situation with Ms.Rahaf al-Qunun".
But just days after fleeing a powerful and allegedly abusive family in Saudi Arabia, al-Qunun has already been judged a legitimate refugee by the United Nations and been in contact with Australian officials in Bangkok about resettlement.
Meanwhile, the way was cleared for the teen to travel to Canada, according to the Reuters report.
If Canada is taking Alqunun, it could further upset Saudi-Canada relations.
"We are providing necessary security for her", he said.
Thai authorities initially threatened to deport her after she arrived in Bangkok from Kuwait last weekend.
She quashed speculation that Alqunun might accompany her back to Australia, "because there are steps which are required in the process which Australia, and any other country considering such a matter, would have to go through".
Phil Robertson, deputy director of Human Rights Watch's Asia division, tweeted: "Rahaf temporarily suspended her #Twitter account because she has been receiving some very nasty, very real death threats".
Several countries, including Australia, had said they could welcome Alqunun as a refugee.
Qunun's flight has emerged at a time when Riyadh is facing unusually intense scrutiny from its Western allies over the killing of journalist Jamal Khashoggi at the Saudi consulate in Istanbul in October and over the humanitarian consequences of its war in Yemen.