LOS ANGELES — Adolescent girls in braids and pigtails and teenage boys wearing jeans and sneakers sat alongside their parents in the courtroom of Immigration Judge Frank Travieso to hear how long they might be allowed to stay in the United States.

Travieso grabbed four thick books and dropped each one on his desk with a thud, warning the families in his Los Angeles courtroom about the thousands of pages of immigration laws and interpretations that could affect their cases and urging them to get a lawyer.

“This is even smaller print,” he said of the 1,200-page book containing regulations during the hearing last month. “I am not trying to scare you, but I’m trying to ensure your children get a full and fair hearing.”

He then sent them on their way and told them to report back in February.

The scene is one that could become more common as the country’s already backlogged immigration courts brace for a deluge of tens of thousands of Central American children arriving at the U.S.-Mexico border in recent months.

The court system is so overwhelmed that it can currently take three years to get a hearing, and many believe the delays will only get worse in the months ahead. For many immigrants, the delays in the court system work in their favor because they know they have so long before their cases are resolved.

“This situation just happens to be a magnitude unlike anything we have ever seen,” said Lauren Alder Reid, counsel for legislative and public affairs at the U.S. Justice Department’s Executive Office for Immigration Review, which runs the courts.

Immigration courts in the United States have long been troubled. The courts, overseen by the Department of Justice, have more than 375,000 cases being handled by just 243 judges, according to the agency.

It can take months or years to get hearings for immigrants who aren’t in detention facilities, let alone a resolution. Immigration lawyers said judges are already setting hearings for 2017.

The Obama administration has said it will move quickly to process thousands of immigrant children and families arriving on the Texas border fleeing violence and extortion from gangs in El Salvador, Guatemala and Honduras. Since October, more than 57,000 unaccompanied children have reached the U.S., prompting the government to set up temporary shelters and fly immigrants to other states to be processed.