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 Ukraine Railway Company said it's adding a number of evacuation trains running from Kyiv to cities in western Ukraine.
The company said the trains can hold about 10,000 people per day.
-ABC News' Christine Theodorou
The U.S. will join the European Union in sanctioning Russian President Vladimir Putin, Russian Foreign Minister Sergey Lavrov and members of the Russian national security team, White House press secretary Jen Psaki said Friday.
Sanctions on Putin and Lavrov were announced earlier Friday by the EU and the United Kingdom.
Biden will hold a meeting with his national security team on Saturday, Psaki said.
President Joe Biden said during his Friday phone call with Ukrainian President Volodymyr Zelenskyy that he “commended the brave actions of the Ukrainian people” who are defending their country against the Russian military.
On the call Biden said he "also conveyed ongoing economic, humanitarian, and security support being provided by the United States as well as our continued efforts to rally other countries to provide similar assistance."
Biden, who met with NATO leaders earlier in the day, said in a statement, "Putin has failed in his goal of dividing the West. NATO is as united and resolute as it’s ever been, and NATO will maintain its Open Door to those European states who share our values and who one day may seek to join our Alliance."
"I have ordered the deployment of additional forces to augment our capabilities in Europe to support our NATO Allies," Biden said. "And I strongly welcome the decision to activate NATO’s defensive plans and elements of the NATO Response Force to strengthen our collective posture, as well as the commitments by our Allies to deploy additional land and air forces to the eastern flank and maritime forces from the High North to the Mediterranean."
Administration officials will provide a classified in-person briefing on the Ukraine crisis to all House members on Monday evening following their return from recess, a senior Capitol Hill official confirmed to ABC News.
Members have had unclassified virtual briefings throughout the week.
-ABC News' Mariam Khan
