Addressing reporters outside the Long Island federal courthouse after his arraignment, Santos said his case is about being "innocent until proven guilty."

"I have my right to fight to prove my innocence," he said.

The freshman congressman, who was released on bond, said he'll return to Washington to vote on the House Republicans' border security bill Thursday.

"I have to go back and vote tomorrow," Santos said. "We have one of the most consequential vote in this Congress, which is a border bill, and I'm very looking forward to being there."

Saying "the media is not jury or the judge," Santos said he would present evidence of his innocence "to the jurist and to the judge in this courthouse."

"If Congress requested, I will present it to them as well," he said.

Asked by ABC News' Rachel Scott why he would apply for unemployment benefits while he had a job that paid $120,000 a year as alleged in the federal indictment, Santos said, "This is inaccurate information."

"I will get to clear my name on this. During the pandemic, it wasn't very clear. I don't understand where the government is getting their information, but I will present my facts."

"My employment was changed during the time," he said of the period when prosecutors allege he collected $24,000 in unemployment funds under false pretenses. "I don't understand where the government's coming from. I'll present my defense."

Speaking to reporters outside the Long Island federal courthouse following his arraignment, Santos said that he will not resign from Congress as a result of his indictment.

"I'm going to fight my battle," Santos said. "I'm going to deliver. I'm going to fight the witch hunt. I'm going to take care of clearing my name and I look forward to doing that."

Ryan Harris, a federal prosecutor speaking on behalf of the government, laid out the conditions of Santos' bond, which defense counsel had agreed to as "something palatable for both of us."

Among the conditions, Santos can travel within the continental U.S. -- but must notify pretrial services before doing so.

He can travel freely within and between New York City, Long Island, and Washington, D.C.

A spokesperson for the Eastern District of New York confirmed that Santos will not be required to wear an ankle monitor.

Santos' next hearing is scheduled for June 30.

-ABC News' Olivia Rubin and Lucien Bruggeman

In addition to being charged with defrauding campaign donors and falsely applying for unemployment benefits, the indictment alleges that Santos mislead the House of Representatives about his finances, specifically in to two financial disclosure forms he filed as a candidate.

in May 2020, during his first unsuccessful campaign, Santos overstated one source of income while failing to disclose his investment firm salary, the indictment says.

And in September 2022, while running again, Santos again included falsehoods in his financial disclosure forms, according to the indictment.

Santos lied about earning a $750,000 salary and between $1 million and $5 million in dividends from his company, the Devolder Organization, according to the indictment, and falsely claimed to have a checking account that held between $100,000 and $250,000, and a savings account with deposits of between $1 and $5 million.

"These assertions were false. Santos had not received from the Devolder Organization the reported amounts of salary or dividends," prosecutors said in the indictment.