The decision comes amid controversy over Trump's border security plans.
This would be Harris' first visit to the southern border since she jumped to the top of the ticket at the end of July.
The legislation fell well short of the 60 votes needed -- the final tally was 43 to 50 -- as nearly all Republicans voted against it.
A narrowly divided Supreme Court on Monday sided with the Biden administration in a tense dispute over the Texas-Mexico border over razor wire fencing.
The numbers are record-breaking: The Border Patrol made about 10,500 apprehensions along the southwest border on Tuesday, according to two sources familiar with the data.
There's a mix of people in encampments in Jacumba Hot Springs, California, a border town located at the U.S.-Mexico wall, and has migrants from all over the world - China, India, Turkey, and Mexico - and most don't speak English.