Canadian Prime Minister Justin Trudeau formally introduced legislation to his country's parliament Wednesday to ratify the U.S.-Mexico-Canada Agreement on trade.

Parliamentary action on the deal, which would replace the 1993 North American Free Trade Agreement, had been held up for months by a dispute between Trudeau's administration and the White House over steel and aluminum tariffs. Trudeau urged Canadian lawmakers to quickly wrap the deal up now that the dispute had been resolved.

"The new NAFTA will secure access to a trading zone that accounts for more than a quarter of the global economy,” Trudeau said, according to Reuters. “It is now time for the members of this House to ratify it.”

Trudeau is set to meet with Vice President Mike Pence on Thursday to coordinate strategy on passing USMCA through their respective legislatures.

Earlier this month, the Trump administration agreed to restore exemptions Canada and Mexico had on U.S. tariffs of 25% on steel and 10% on aluminum. The Trump administration initially granted the exemptions last year when it first enacted the tariffs, but removed them during negotiations as a tactic to pressure Canada and Mexico. After a deal was struck late last year, the Trump administration resisted pressure for months to restore the exemptions, prompting Canada and Mexico to refuse to ratify the agreement until it budged.

U.S. House Speaker Nancy Pelosi, D-Calif., has yet to commit to bringing the USMCA up for a floor vote, arguing that the trade deal lacks proper enforcement provisions, among other shortcomings. Canada and Mexico have refused to reopen the deal for further negotiations, a position the Trump administration has taken as well.

"The reality is that Speaker Pelosi, under the Trade Promotion Authority, has the keys here about when this gets brought up and what the process is," Marc Short, chief staff to Vice President Mike Pence, told CNBC.