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.
U.S. crude oil prices topped $100 a barrel on Thursday morning, sending gasoline prices to an average of $3.54 a gallon, according to the American Automobile Association.
Meanwhile, U.S. stock futures plunged. Dow futures were down more than 700 points as of 10:47 a.m. ET.
The developments came amid ongoing attacks on Ukraine by Russia, the world's third-largest oil producer.
-ABC News' Zunaira Zaki
Ukraine's energy system has temporarily cut itself off from the power grids of neighboring Russia and Belarus, according to Ukrainian transmission system operator Ukrenergo.
Ukrenergo said in a statement Thursday that the country's system is now functioning independently and will continue to do so for the coming days as it tests for a future connection to the European network of transmission system operators.
The European Union's ambassador to Ukraine, Matti Maasikas, took to Twitter to say the "controlled disconnection" was "perfect timing" and that the system is "operating autonomously under normal conditions."
"The assets of the main network are currently functioning without interruptions," Maasikas tweeted.
-ABC News' Anastasia Bagaeva
At least 40 people have been killed Thursday in Russia's attack on Ukraine, according to Oleksiy Arestovich, an adviser to Ukrainian President Volodymyr Zelenskyy.
Arestovich told ABC News that several dozen others have been injured so far.
-ABC News' Patrick Reevell
Russia appears to be establishing military censorship of media coverage of its invasion of neighboring Ukraine.
The Russian Federal Service for Supervision of Communications, Information Technology and Mass Media, or Roskomnadzor, warned Thursday that all Russian media outlets are required to use information exclusively from official Russian sources while covering the military operations in eastern Ukraine.
"Roskomnadzor informs media outlets and information resources that they are required to use information received exclusively from official Russian sources in their materials and reports covering the special operation in the Luhansk and Donetsk people's republics," the agency said in a statement.
Roskomnadzor warned that publishing knowingly false information will result in an administrative fine of up to 5 million rubles (about $60,000).
"The number of unverified and untrue reports published by media outlets and other online information resources has considerably grown in recent hours," the agency added.
-ABC News' Tanya Stukalova
