Former Bank of England governor Mark Carney, who was also the head of Canada's central bank, is the front-runner.
His time at the Bank of Canada during its rapid recovery from the 2008 financial crisis won him much fame.
Since announcing his candidacy in January, he has been endorsed by several cabinet ministers and MPs.
Though he hasn't served in Trudeau's government, he was made chairperson for a government task force on economic growth last September.