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 Indian Embassy in Kyiv on Tuesday urged Indians still in the capital to “leave Kyiv urgently today.”
“All Indian nationals including students are advised to leave Kyiv urgently today,” the embassy said on Twitter. “Preferably by available trains or through any other means available.”
Solomiia Bobrovska, a member of Ukraine’s parliament, on Monday said Ukrainians would “fight to the end” as they defend Kyiv from a Russian invasion.
“That's the mood of Ukrainians. We are staying behind altogether, and we do understand that with the total second line staying behind their shoulders. And I think we will fight until the end,” Bobrovska told ABC News’ Linsey Davis.
Ukraine said its nuclear power plants are still being operated “safely and securely,” the International Atomic Energy Agency wrote in an update late Monday.
However, IAEA Director General Rafael Mariano Grossi said he “remained gravely concerned about maintaining their safety and security during the current conflict.”
Ukraine’s foreign ministry told the IAEA on Monday that Russian troops are “operational” near a functioning nuclear power plant at Zaporizhzhia, but the troops haven’t entered it so far. Any fighting near nuclear facilities causes alarm, and Ukraine has four sites in total with 15 reactors.
“It is extremely important that the nuclear power plants are not put at risk in any way,” Grossi said in a statement. “An accident involving the nuclear facilities in Ukraine could have severe consequences for public health and the environment.”
The IAEA Board of Governors will hold a meeting Wednesday to discuss the “safety, security and safeguards implications of the situation in Ukraine.”
The encrypted messaging app Signal -- which has lately seen an “uptick in usage in Eastern Europe” -- is pushing back on social media rumors that the app has been compromised and hacked.
“Signal is not hacked,” the company tweeted. “We believe these rumors are part of a coordinated misinformation campaign meant to encourage people to use less secure alternatives.”
Signal said it is seeing rumors being pushed in the form of forwarded messages. The message attributes a warning that Signal has been compromised to a “senior government official.”
But, the company said, there is no senior government official saying that, and the app is not compromised.
“This is false and Signal is not under attack,” it tweeted.
-ABC News’ Luke Barr
