A committee negotiating new border security measures tentatively agreed Monday night to dedicate $1.4 billion to Trump's border wall, far less than his $5.7 billion goal.
The pact includes money for other border security measures, including advanced screening at border entry points and customs officers.
White House Spokesman Hogan Gidley said earlier on Tuesday that it's difficult to say what will and won't be acceptable before officials have a chance to review details of the proposal House and Senate lawmakers agreed to Monday night.
Senate Democratic leader Chuck Schumer urged Trump to accept the emerging border security deal and "not, not, not cause another shutdown."
Trump traveled to El Paso, Texas, for a campaign-style rally Monday night focused on immigration and border issues.