According to The Hill daily, the senators have not reached a common agreement about this initiative, which was approved by the House of Representatives last week.
Before the voting, the Senate decided to divide the bill in two parts: a law that would ban oil imports and another one that would end normal trade relations with Russia and Belarus.
The Hill also reported that the main Republican senators are discussing whether to turn both laws into one, amid many friction points with the Democrats.
Both initiatives seek to tighten sanctions against Moscow, increase tariffs for products from Russia and Belarus and draw guidelines on when the US president can reestablish normal trade relations with those countries.
The lawmakers are discussing this initiative amid the nosedive of the approval rate of the US president. It fell to a minimum of 40 percent Tuesday due to inflation and his handling of the Ukraine conflict, according to national polls.
Analysts claim that the Biden administration is committing suicide trying to cripple the Russian economy amid urgent internal problems.
They also add that the Ukraine conflict worsened after Washington and its NATO allies further threatened Moscow and deployed thousands of troops across eastern Europe.