677,000 people have fled Ukraine
Filippo Grandi, the United Nations High Commissioner for Refugees, said the number of Ukrainians who've fled their country has climbed to 677,000.
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.
Filippo Grandi, the United Nations High Commissioner for Refugees, said the number of Ukrainians who've fled their country has climbed to 677,000.
Diplomats from Western countries were seen on video walking out in protest as Russian Foreign Minister Sergei Lavrov addressed the U.N. Human Rights Council and Conference on Disarmament.
The meeting was held Tuesday in Geneva and Lavrov gave his address via video.
The Human Rights Council has faced criticism for years for including human rights abusers, including Russia. In a prerecorded video to the council, Secretary of State Antony Blinken questioned whether Russia should be allowed to keep its seat.
"One can reasonably ask whether a U.N. member state that tries to take over another U.N. member state -- while committing horrific human rights abuses and causing massive humanitarian suffering -- should be allowed to remain on this council," he said.
Blinken accused Russia of hitting civilian targets like schools, hospitals, residential buildings, critical infrastructure, and cars, buses, and ambulances -- including the "monstrous rocket strikes" on an apartment complex in Kharkiv.
"Reports of Russia's human rights abuses and violations of international humanitarian law mount by the hour," he said.
"These are the human rights abuses this council was created to stop. If we cannot come together now, when will we come together?" he asked.
-ABC News' Fergal Gallagher, Conor Finnegan
Filippo Grandi, U.N. high commissioner for refugees, told the Security Council Monday there's “a growing number of unaccompanied and separated children" in the unending lines of refugees fleeing Ukraine.
UNICEF said there are "anecdotal reports of heartbreaking stories of fathers -- or families -- arriving at the border with their children and relinquishing them to the border guards, then remaining in Ukraine.”
UNICEF said it doesn't have numbers yet on unaccompanied or separated children.
-ABC News' Zoe Magee
A rocket attack on an administrative building in Kharkiv in northeast Ukraine has killed at least six people and injured another seven, Ukrainian officials said.
An Indian student was among those killed, according to the Indian government.
A senior administration official told ABC News the U.S. has learned that Russia continues to plan for a “devastating” attack on Ukraine, warning that "the Russians … will crush Ukraine."
-ABC News' Martha Raddatz