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

About a dozen GOP members of the House had previously called on Santos to resign or be expelled from Congress in the face of allegations against him, and several of them are reiterating that stance today.

In a statement today, fellow New York Rep. Nicole Malliotakis, said, "The charges against Rep. Santos are extremely serious and deeply disturbing and as I've previously said, he simply doesn't have the trust of his constituents or colleagues. The sooner he leaves, the sooner his district can be represented by someone who isn't a liar and fraud."

Rep. Marc Molinaro, R-N.Y., told reporters on his way into a conference meeting this morning, "I can't wait for him to be gone."

Rep. Tony Gonzales, R-Tex., tweeted, "George Santos should be immediately expelled from Congress and a special election initiated at the soonest possible date," while Rep. Steve Womack, R-Ark., told reporters, "This has been going on now since we took the majority. Frankly, I would have hoped along the way that Mr. Santos would have done what I believed was the right thing and not force leadership to force his action, but for him to do it on his own."

The office of Rep. Max Miller, R-Ohio, says his position remains unchanged from the his Jan. 12 statement which said, in part, "I do not believe George Santos can effectively serve and should resign."

In other statements released Tuesday night by Santos' fellow New York Republicans, Rep. Nick LaLota said, "These charges bring us one step closer to never having to talk about this lying loser ever again," while Rep. Mike Lawler said, "I reiterate my call for George Santos to step down" and Rep. Anthony D'Esposito said, "As a retired NYPD Detective, I am confident the justice system will fully reveal Congressman Santos' long history of deceit, and I once again call on this serial fraudster to resign from office."

Other GOP House members from New York who have previously called for Santos to step down include Rep. Nick Langworthy and Rep. Brandon Williams.

Rep. French Hill, R-Ark., told CNN Tuesday night, "I do believe that if a member of Congress is charged with a federal crime they should resign," and Rep. Nancy Mace, R-S.C., told CNN, "We should really hold our own accountable and recruit someone who's going to be better."

-ABC News' Lauren Peller, Gabe Ferris, Katherine Faulders and Jay O'Brien