But a White House official said Saturday that the Trump administration is working with allies in the Senate on a proposal that would create a path to citizenship for an estimated 1.8 million people who were brought to the country illegally as children, and that would clear the backlog of nearly 4 million sponsored relatives who currently are waiting for green cards.

The combined effort, officials said, would effectively make up for the cuts in other immigration categories for about 13 years, the official said. After that, if Congress takes no additional action to add or expand visa categories, the total number of people allowed to resettle in the U.S. each year likely would decline by hundreds of thousands.