WASHINGTON — Democratic lawmakers left the capital for the Thanksgiving break on Thursday without a final agreement on President Trump’s revised North American trade deal, prolonging a difficult negotiation with the administration on one of the president’s trade priorities.

But top House Democrats insisted that they were closing in on a deal on the United States-Mexico-Canada Agreement that would satisfy their remaining concerns. Talks will continue over the break, and a vote to ratify the deal could come in the following weeks, they said.

“We’re going to stay right at this for the next week,” said Representative Richard E. Neal of Massachusetts, the chairman of the Ways and Means Committee, after a private meeting on Thursday with Speaker Nancy Pelosi and Robert Lighthizer, the United States trade representative. “We do think we’re down to two and a half, maybe three issues.”

Mr. Neal, who called the meeting “spirited” but “candid,” said the parties had made substantial progress. He did not elaborate, but said some of the progress related to enforcement, a major area of concern for Democrats.