President Donald Trump is pushing to announce a tentative new North American Free Trade Agreement within two weeks, Bloomberg reported Monday, citing three people familiar with the talks.

The White House wants leaders from Canada and Mexico, the other two members of the trade deal, to announce the framework of an agreement at the Summit of the Americas in Peru, which starts April 13, Bloomberg reported. Negotiators would have to finish final details of the new plan later.

The Trump administration would like to see changes, particularly in the automotive industry, but two weeks "is probably too optimistic," a White House official who declined to be named told CNBC. The official called that deadline "a marker that we'd like to see something done by."

Representatives from the three countries have negotiated the workings of a revised agreement for months. Trump has repeatedly criticized the deal, arguing it hurts American workers by pushing jobs out of the country.

He has threatened to pull the U.S. from the agreement if the three nations cannot improve it.