“We lost everything, we have no choice but to go to the US,” an unidentified middle-aged man in the caravan with his wife and cousin told Honduran television.
The man said he was from La Lima, a municipality on the southeastern edge of San Pedro Sula that was hard hit by flooding caused by Eta and Iota.
Guatemala's migration authorities warned the approaching migrants that to enter the country, they would need negative coronavirus tests and passports.
Central Americans had already begun leaving their homes after the devastating hurricanes.
Trump, who is due to leave office on January 20, has made curbing illegal immigration a top priority, and has put pressure on Mexico to help him. A caravan of thousands moving through Central America was broken up in October.
Biden has vowed to pursue a “humane” migration policy and offer help to Central America to ease migratory pressures.