The resolution, passed unanimously by the senators, has no force in law but sends a message of support for Ukraine and condemnation of Russian aggression.
According to the Associated Press (AP), the resolution comes at a time when Russia is raising fresh fears of a possible attack on the former Soviet state, which could push Europe to war.
The move comes in the wake of President Biden's statement in the US Senate that "the United States has indications of a possible Russian invasion of Ukraine in the next few days."
US officials have expressed concern about Russian President Vladimir Putin's alleged plans, as Russian troops remain on the Ukrainian border.
The resolution, passed unanimously by the senators, has no force in law but sends a message of support for Ukraine and condemnation of Russian aggression.
Republican Senator Rob Portman, along with Democratic Senator Jane Shaheen of New Hampshire and others, said in a resolution that "this Congress is united in its support for Ukraine's independence and sovereignty."
The resolution, passed on Thursday, urges President Biden to use all available resources to persuade the US government to impose sanctions on Russia and restore peace in Europe.
Russia and Germany have also been at loggerheads over an energy pipeline, although President Biden said last week that the plan would not go ahead if Russia invaded Ukraine.
Meanwhile, US Secretary of State Anthony Blanken has accepted an invitation to meet with his Russian counterpart Sergei Lavrov next week.
According to Reuters, the US State Department said Blanken had accepted an invitation to meet with Sergei Lavrov on the condition that Russia refrain from invading Ukraine.