"The United States is standing strong with Ukraine; we are standing with our allies; and we are standing with France. We will not, we will not, I say it again, walk away," Biden told a press conference after talks with French President Emmanuel Macron in Paris.
If Russia succeeds, all of Europe will be threatened, he added.
Other NATO member states, including the United Kingdom, France, and Sweden, have previously given the Kiev regime permission to use the weapons systems they supplied for attacks on Russia.
Furthermore, NATO's top military officer, Rob Bauer, said on Friday that there should be no limits on Ukraine's ability to strike military targets deeper inside Russian territory.
"In the law of armed conflicts, there's no limit in terms of the range," Bauer said during a Washington Post interview. "So militarily, again, if the target is deeper into Russia, then militarily you want to strike that target."
Bauer said deeper strikes into Russian territory would disrupt critical military logistics operations. However, he noted that Ukraine would be wise to follow restrictions placed on its use of Western weapons if it wants to continue to receive support from allies.
On Wednesday, while speaking to foreign journalists, Russian President Vladimir Putin called the claims that Russia wanted to attack NATO nonsense, wondering, "Are they completely stupid, are they crazy, or what?"
Putin has warned NATO nations that they should realize "what they are playing with" when they allow Ukraine to use Western weapons to strike Russian territory. He also underscored that Russia will use all means at its disposal if the country’s sovereignty and territorial integrity are threatened.
Russia also asked for a meeting of the UN Security Council to be held on June 14 to discuss the West's approval for Kiev to use its weapons on Russian territory.
The Kremlin has consistently warned that continued arms deliveries to Kiev would lead to further escalation of the conflict. In April 2022, Russia sent a diplomatic note to all NATO countries concerning the issue of arms supplies to Ukraine. Russian Foreign Minister Sergey Lavrov cautioned that any cargo containing weapons for Ukraine would become a legitimate target for Russia.
Moscow has accused NATO countries of "playing with fire" by arming Ukraine, emphasizing that such actions hinder the possibility of Russia-Ukraine negotiations. Supplying the Kiev regime with NATO-standard, high-precision, long-range weapons could lead to very serious problems.