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.
More than 500,000 people have fled Ukraine since the Russian invasion began on Thursday, the U.N. Refugee Agency said on Monday.
More than half have crossed the border into Poland, the agency said. Filippo Grandi, the U.N. high commissioner for refugees, had said on Sunday that 368,000 people had fled to neighboring countries.
-ABC News’ Zoe Magee
The Ukrainian delegation sent for talks with Russia arrived Monday morning at the Belarus-Ukraine border, where the meeting will be held.
Ukraine has said the key issue for the talks is an immediate ceasefire and the withdrawal of Russian troops.
Russia has signalled it wants to discuss Ukraine adopting “neutral status.”
The head of Russia’s delegation has said the two sides will meet within about an hour. They are meeting on the Pripyat River, north of Chernobyl.
The Ukrainian delegation includes the Minister of Defense Oleksiy Reznikov, the head of Zelenskyy’s parliamentary party, as well as advisors to the president and MPs.
Russia’s delegation includes officials from the Foreign and Defense ministries, and the presidential administration.
The talks were agreed to on Sunday in a call between Ukraine’s President Volodymyr Zelenskyy and Belarus’ leader Alexander Lukashenko.
Fighting continued throughout the night, as Russia attempted to advance and bombarded Ukrainian forces.
-ABC News’ Patrick Reevell and Julia Drozd
The U.K. Ministry of Defence said on Monday that the advance of Russian ground forces had been slowed by Ukraine’s defense of an airport in Hostomel, about 19 miles north of Kyiv.
“Logistical failures and staunch Ukrainian resistance continue to frustrate the Russian advance,” the ministry said on Twitter.
Japan's Prime Minister Fumio Kishida said his country would send $100 million in emergency humanitarian aid to Ukraine.
“In light of the fact that such a state of emergency now exists, I will reiterate that Japan stands together with the citizens of Ukraine who are doing their utmost in taking actions to defend their sovereignty and territory, as well as their homeland and their families,” Kishida told reporters at a press conference, according to a translation released by his office on Monday.
Russia’s invasion “undermines the very foundation of the international order,” he said.
“We will show clearly that this kind of outrage comes with a heavy price,” he said. “The international community now believes that because of Russian aggression, it can no longer carry on relations with Russia in the same way it used to.”
