The human rights group said it would provide more details on the development soon.
Badawi's wife and three children settled in Sherbrooke, Que., as refugees after his arrest.
Badawi, author of a blog about human rights and social change, was sentenced last year to 10 years in prison, 1,000 lashes and a fine of one million Saudi Arabian riyals (about $315,000 Cdn). His offences included creating an online forum for public debate and insulting Islam.
Badawi received his first 50 lashings in a public square after morning prayers a week ago.
The flogging is being carried out over a period of 20 weeks, Amnesty International said.
Canada's Department of Foreign Affairs has called the sentence a "violation of human dignity," but said its involvement in the case is limited by the fact Badawi isn't a Canadian citizen.
The United States has asked Saudi Arabia to cancel the 1,000 lashes.
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