While Trump's team is focused on the implications this ruling will have on the Jan. 6 case, they are also particularly interested in how this could affect his other outstanding criminal cases.

Why's that?

Trump's lawyers have an outstanding motion to dismiss the Florida classified documents case based on presidential immunity.

While it's not likely that case will go to trial before the election, the judge in that case, Judge Aileen Cannon, has indicated she wants to wait for the Supreme Court decision before she entertains that motion. And, given her unpredictability, the Trump legal team believes the ruling could give Cannon yet another avenue to throw the case's future in doubt.

The best case scenario for Trump's lawyers would be for the Supreme Court to rule he has full immunity for any actions taken while in office, which is not likely. The worst case would be that the justices uphold lower court rulings that said criminal laws apply to ex-presidents like they apply to everyone.

What do they expect? Not a full win for either side.

If the Supreme Court says its mandate could go into effect immediately, Trump's lawyers expect Judge Tanya Chutkan to get the ball rolling very soon after in the Jan. 6 case and likely schedule a briefing in the next week and a status conference once the mandate is docketed.

There would also likely be action in Florida, where Judge Cannon could move to schedule a briefing or an in-person hearing on the motion to dismiss.

-ABC News' Katherine Faulders

When the justices appeared open to the idea of some level of immunity for former presidents, it was a shock for many veteran court observers.

"It was surprising to hear, at least from some of the justices, the possibility that a president could somehow commit criminal misconduct for which they could never be held liable in court," said constitutional law expert Michael Gerhardt. "I think that has struck many people as just, up until now, inconceivable."

One point that stood out to Gerhardt was when Justice Elena Kagan pressed Trump attorney John Sauer if a president could order the military to stage a coup and be immune. Sauer said, in their view, a president could.

"The answer that she got was one of the most disturbing I've ever heard at the Supreme Court," he said.

Read more about reaction to the April arguments here.

The high court in April heard historic arguments on whether former President Donald Trump can be criminally prosecuted related to his efforts to overturn his 2020 election loss.

Trump denies all wrongdoing and insists he should have "absolute immunity" for any "official acts" while in office.

Read the five takeaways from arguments this past April.

The Supreme Court is expected to convene at 10 a.m. today.

President Joe Biden addressed the Supreme Court's historic decision on presidential immunity Monday, saying the ruling "fundamentally changed" the limits to America's highest office.

"This nation was founded on the principle that there are no kings in America," Biden said.

"Each of us is equal before the law," he continued. "No one is above the law, not even the president of the United States."

"Today's decision almost certainly means that there are virtually no limits on what a president can do," Biden said.

Addressing the charges Trump faces for actions taken to overturn the results of the 2020 election, Biden said, "The public has a right to know the answer about what happened on Jan. 6 before they are asked to vote again this year."

Ahead of the November election, Biden said the American people have to decide if they want to "entrust" the presidency once again to Donald Trump, "now knowing he'll be even more emboldened to do whatever he pleases, whenever he wants to do it."