Sending astronauts back to the moon is one of the top space priorities of President Trump. But his administration wants to accomplish that without giving NASA additional money, and it won’t occur until after he leaves office, even if he wins re-election.

Instead, it aims to give the private sector a greater role, according to a budget proposal to be released on Monday.

The administration is also looking to end American payments for the International Space Station by 2025. The space station is currently scheduled to operate through 2024, but the expectation was that it would be extended through at least 2028.

According to excerpts from NASA documents obtained by The New York Times before the budget’s release, the administration will propose $19.9 billion in spending for the space agency in fiscal year 2019, which begins on Oct. 1. That is a $370 million increase from the current year, the result of the budget deal reached in Congress last week and signed by Mr. Trump.