The president mentioned El Paso in his State of the Union address last week as an example to support his demand for a wall.
"The country will be watching, and it falls on all of us to tell the true story about the border", O'Rourke said Sunday on Twitter.
After a 35-day partial government shutdown that ended January 25, the federal government could close again if congressional Republicans and Democrats cannot hammer out a compromise.
He plans to continue making his case for increased border security, which includes funding for the border wall.
Their demonstration came ahead of the president's rally to be held Monday in the El Paso Coliseum.
Dozens of people linked hands and formed a human wall to demonstrate in favor of the construction of the border wall between the United States and Mexico, at the border between Sunland Park, New Mexico on February 9, 2019.
On the other side of the debate, Trump's campaign put out a video highlighting the need for a wall and featuring El Paso residents. On Tuesday, O'Rourke promised a 2020 decision by the end of the month.
On Monday evening, O'Rourke will lead a march through the city and then speak at a "Celebration of El Paso" event at 7 p.m. local time - across the street from Trump's rally and at the same time it is set to begin, according to O'Rourke's team.
U.S. President Donald Trump is slated to visit El Paso on Monday where he will host a rally Monday night. The events, which will feature music and other speakers, are meant to highlight El Paso's strength as a binational community - and push back against Trump's long-sought border wall.
The statements have been widely rejected by city officials. It is NOT the sole deterrent.