Biden will announce the news in his State of the Union address, a source said.
Russian forces are continuing their attempted push through Ukraine from multiple directions, while Ukrainians, led by President Volodymr Zelenskyy, are putting up "stiff resistance," according to U.S. officials.
The attack began Feb. 24 as Russian President Vladimir Putin announced a "special military operation."
Russians moving from Belarus towards Ukraine's capital, Kyiv, don't appear to have advanced closer towards the city since coming within about 20 miles, although smaller advanced groups have been fighting gun battles with Ukrainian forces inside the capital since at least Friday.
Russia has been met by sanctions from the U.S., Canada and countries throughout Europe, targeting Russia's economy and Putin himself.
The U.S. embassy in Moscow sent an alert urging American citizens to consider departing Russia immediately amid the growing number of canceled flights and closures of airspace to Russian airlines.
"U.S. citizens should consider departing Russia immediately via commercial options still available," the alert said.
-ABC News' Conor Finnegan
New York Gov. Kathy Hochul announced an executive order Sunday that ordered a review of all state purchases and investments with Russia and ceased investments for as long as U.S. sanctions are imposed on the country.
“The state will not permit its own investment activity, whether directly or indirectly to aid Russia as it commits these human rights violations,” Hochul said during a news conference.
She also reiterated that refugees from the conflict will be welcome in New York.
“Because we have the Statue of Liberty in our harbor, this is a point of pride for us to welcome all of them,” Hochul said.
Andrei Kozyrev, the former Russian minister of foreign affairs, spoke with ABC News Live about the ongoing Ukrainian-Russian conflict and Russian President Vladimir Putin, who he says was a friend.
"I don't know what happened inside his head, but it's different person, especially politically, it's totally different," he said. "I know that there are positive situations when a soul becomes full. But perhaps there is room for reverse, you know, when a good person becomes a bad person, and serving this regime, it just makes me feel sick, that he's doing that."
Kozyrev said Putin has been making several miscalculations, particularly with how Ukrainians and the West would react.
He added that he believes Putin's inner military circle would prevent him from using the "nuclear button."
"They risk everything, their families, because the nuclear war is a doomsday machine for everyone. It's suicidal. So somebody will stop him," he said.
-ABC News' Nadine Shubailat, Zoe Magee and Rahma Ahmed
Canada announced that it will prohibit "Russian-owned, chartered, or operated aircraft" from entering its airspace, effective immediately.
"All of Canada is united in its outrage of President Putin’s aggression against Ukraine," Omar Alghabra, Canada's minister of transport, said in a statement. "The government of Canada condemns Russia’s aggressive actions and we will continue to take action to stand with Ukraine.”
Canada's announcement comes hours after the European Union issued a similar ban over its airspace.
-ABC News' Matt Foster
