A large group was arrested in the mountains east of Otay Mesa, a San Diego community that straddles the Mexican border, the source said.
The migrants, who slept in overcrowded shelters and in tents with a view of armed U.S. Border Patrol agents, said they will wait for other migrants to join them before making their next moves.
Michael also said that jumping over the fence in front of border patrol agents is a tactic used to "bait" border patrol agents, adding, "While yes, they did enter illegally and that is breaking the law, if they run right back over into Mexico, we may or may not send agents depending on the level of risk of assault". "We don't want you here!"
Several hundred people from the caravan got off buses and made their way to a shelter on the Mexican side near the border to line up for food.
But the caravan is moving far more quickly through the unsafe and sparsely populated north than it did through the south and center of the country, thanks to donated transport - sometimes from local authorities who would rather send the migrants on their way than host them in shelters.
The developments come as more than 2,000 members of the caravan - which has made worldwide headlines for the past month and added fuel to the already heated immigration debate - are expected to arrive at the border on Thursday.
On Tuesday, a couple of dozen migrants scaled the steel border fence to celebrate their arrival, chanting "Yes, we could!"
Some migrants said they were waiting for others members of the caravan to arrive to figure out their next steps.
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She planned to stay in Tijuana until caravan leaders arrived and offered help on how to seek asylum in the US.
Members of a migrant caravan started to meet some local resistance as they continued to arrive by the hundreds in the Mexican border city of Tijuana, where a group of residents clashed with migrants camped out by the USA border fence.
Almost 6000 U.S. troops are also assisting border patrol agents, in fact, U.S. Defense Secretary Jim Mattis met with those troops and said the deployment of military personnel ordered by President Trump provides good training for war. The bulk of the main caravan appeared to still be about 1,100 miles (1,800 kilometers) from the border, but has recently been moving hundreds of miles a day by hitching rides on trucks and buses.
Trump turned the caravan into a hot-button issue ahead of last week's USA midterm elections, claiming - without providing evidence - it included "hardened criminals" and "unknown Middle Easterners" who were about to "assault" the United States.
Large groups of migrants gathered on the beach in the northern city of Tijuana at the border fence that separates Mexico from California, climbing on top of it and even jumping down to the other side as USA border patrol agents looked on - before quickly scrambling back to the Mexican side. Most of the troops are in Texas, more than 1,500 miles from where the caravan is arriving. By early Wednesday, an additional 1,100 migrants from a third and last caravan also arrived at the stadium.
The migrants are said to be the first to reach the United States with thousands more marching north.
"They wanted to stay together in a single shelter", Palencia Chavez said, "but at this time that's not possible" because shelters are designed for smaller groups and generally offer separate facilities for men, women and families.
William La Jeunesse joined FOX News Channel (FNC) in March 1998 and now serves as a Los Angeles-based correspondent.