Ukrainian president Volodymyr Zelenskiy recently made a direct appeal to US president Joe Biden for the United States to designate Russia a "state sponsor of terrorism," the Washington Post reported on Friday, citing people familiar with their conversation.
Mr Biden did not commit to specific actions during that call, the newspaper reported.
The label can be applied to any country that has "repeatedly provided support for acts of international terrorism," the newspaper said, citing a State Department fact sheet. The list currently includes four countries: North Korea, Cuba, Iran and Syria.
Russia has warned the United States that there will be "unpredictable consequences" if Washington keeps arming Ukraine, The Washington Post also reported on Friday.
In Moscow, a foreign ministry spokeswoman confirmed Russia had sent diplomatic notes to the United States and other nations about supplying weapons to Ukraine but did not say what the messages contained, Interfax news agency reported.
"We call on the United States and its allies to stop the irresponsible militarization of Ukraine, which implies unpredictable consequences for regional and international security," the Post quoted Russia saying in a note to the United States.