Mexico has sent two Boeing 727s carrying federal forces and riot police to Tapachula, in readiness for the caravan's arrival.
"Finally, the government of Mexico reiterates its commitments with the worldwide community's efforts in favor of safe, orderly and regular migration; and with the human rights of migrants".
Mexico has rushed to contain the situation.
According to the State Department, Pompeo's visit Friday will focus on the USMCA, immigration and the transition from the Peña Nieto administration to the incoming Andrés Manuel López Obrador administration.
Migrant caravans of this type are nothing new, they quite often take place.
It was the second time in six months that Trump suggested the possibility of military action to curb immigration at the U.S. -Mexico border.
Why does it concern Trump?
A member of Pueblo Sin Fronteras, a group that helps organize caravans, told migrants in Tecun Uman on Thursday night the group would try to cross en masse on Saturday morning, the Associated Press reported.
Since he was on the campaign trail, Mr Trump has lambasted illegal immigrants, and this latest caravan comes after a major crackdown on migrants heading over the Mexican border.
Mexico is seeking global aid as the country prepares for the arrival of thousands of migrants.
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Vigil said he believes Trump is partly to blame for the recent exodus from Honduras because of US involvement in the country's contested presidential election previous year.
The foreign minister went on to say the country will do everything in its power to respect human rights, but would not hesitate to turn away or deport any individuals who arrive without appropriate papers.
Where is the caravan now?
The "steadily growing caravan" is estimated at several thousand people and hope to reach Mexico within days.
Many left spontaneously with little more than the clothes on their backs and what they could quickly throw into backpacks. The migrant caravan will be on top of the agenda, USA officials say. In April, thousands of National Guard troops were deployed to the southern border to assist with security operations there, although their assistance was limited to surveillance work. "If they advance, we close [the doors]", a federal police officer told a group of 30 police agents at the border crossing Thursday afternoon.
The Mexican government will ask the United Nations refugee agency, UNHCR, for help in coordinating an overflowing wave of refugees arriving from on its southern border from Central American countries.
Stretching nearly 2,000 miles (3,200 km), the US-Mexican border is one of the busiest in the world, processing thousands of commuters daily and much of the half a trillion dollars of annual trade between Mexico and the United States.
Migrants regularly float across the Suchiate river on rafts, then wind their way north through Mexico, sometimes choosing to travel in large groups for protection.
One of the migrants, Juan Escobar, 24, said he had heard about Trump's comments but said they would not dissuade the migrants from continuing their journey.