"The president certainly can slow down crossing at legal border crossings where about a million people cross each day". President Trump warned this week that he will halt federal aid funding to the two nations if they do not act to stop the exodus. "Walk!" insisting that they prefer to continue on foot. In a separate interview with Milenio television, he accused people not part of the caravan of attacking police with firecrackers and rocks.
The group has swollen in size since leaving San Pedro Sula, one of the world's most risky cities, on Friday. That would be about one fifth of his income. It was already hard enough to support his four daughters on the $450 he makes, so he closed his small business instead.
Manelich Castilla told Foro TV the migrants will enter in an orderly fashion.
Police deployed pepper spray after some migrants tried to push their way through the Mexican side.
Some have said they are fleeing violence and poverty in Honduras, where human rights activists have complained of constant human rights violations. Some in the caravan threw rocks.
Despite the show of force, senior Mexican government officials say they won't use force against migrants.
Trump has made it clear to Mexico that he is monitoring its response. In some places in the area, the US has installed three layers of walls and fencing.
Men and women, some with young children and babies drenched in sweat, began storming and climbing the barrier - tearing it down.
Trump has made migrant caravans a symbol of all that is wrong with USA immigration policies.
What appeared to be tear gas was sacked as the crowd pushed towards Mexican police at the border, CNN's Bill Weir reported from the scene. Other officers unloaded shields and antiriot equipment from a police bus. He said Wednesday that his administration would offer work visas to Central Americans.
Thousands of migrants traveling in a caravan briefly moved toward a border crossing on the Mexico-Guatemala frontier before turning around. Some of them talked among themselves.
Honduran migrants remove a barrier at the Guatemala-Mexico global border bridge.
"The journey has been very tough, very hard but there's no work in Honduras", 20-year-old Glenda Salvador, a mother of two toddlers, told AFP earlier in the day as the migrants massed in the Guatemalan town of Tecun Uman, close to the bridge.
"We hope that in this big caravan group, they let us in", he added, referring to the United States. "You can't live in Honduras", a 16-year-old female farmworker told the paper.
Orellana says "the economy in Honduras is bad, there is nothing there".
Barely a week goes by without Trump warning about the danger posed by ultra-violent Central American gangs like MS-13, while chants of "build the wall" are a staple element of his pre-midterms campaign rallies. Others intend to cross the Suchiate River on a raft. By some estimates, it now contains more than 3,000 people.
"It's the third time that I'm trying to cross", he said. But trade attorney Daniel Ujczo of Dickinson Wright PLLC said there "is a significant concern" that Trump will hold the pact hostage "in any number of issues that will arise between the USA and Mexico as well as the US and Canada".