The weight of the people causes the vehicle to become unstable and makes it easy for crashes to occur, Border Patrol officials previously told Breitbart Texas.
Four people died at the scene when it crashed and another one died at a local hospital.
The driver is now in custody with Homeland Security Investigations, a division of the Department of Homeland Security, according to the Texas Department of Public Safety.
It was unclear why law enforcement began chasing the vehicle, though KABB quoted Dimmit County Sheriff Marion Boyd saying it was the result of "good police work". "We've seen this many, many times", Boy said. The agency said multiple arrest were made in both vehicles.
Authorities previously encountered the driver of the SUV last week, and believe he was in the area to pick up or scout unauthorized immigrants, Boyd said.
In a later interview, Boyd said the vehicle reached 100 miles per hour before the driver lost control and crashed. The auto was traveling around 100 miles per hour, according to Boyd.
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The crash took place in the city of Big Wells outside San Antonio after Border Patrol agents tried to stop the driver of an SUV, ABC television affiliate KSAT reported.
Boyd added that a wall is not the only answer.
Boyd said smuggling endangers not only the lives of Americans but also the lives of the immigrants.
Sunday's crash comes amid widespread protests over President Donald Trump's immigration policies that include separating undocumented children from parents caught sneaking them into the country.
"It's just extremely busy, we need the assets down here, we have a problem", Boyd said.