Cardin, a Democrat, expressed the belief that President Trump would sign the bill when passed. But changed his standing last month when he said he needed to see progress with Russian Federation or else sanction measures will be proposed by his panel.
The White House has been silent on the proposal and administration officials have been unclear on what the official position is.
In December, the Obama administration responded to Russia's provocations with a slate of sweeping measures that included the expulsion of "intelligence operatives" and sanctions on Russia's central intelligence services.
"This amendment also takes appropriate steps to ensure that current sanctions can not be unilaterally unwound by this administration", Shaheen said. "Nobody is trying to tie this president's, or really any president's hands".
The amendment was negotiated by Senate leaders from both parties on the foreign and banking committees amid intense scrutiny of Russia's role in the United States presidential election.
It comes amid concerns that members of Mr Trump's campaign team colluded with Russian Federation over the election. Senate Majority Leader Mitch McConnell and Florida Senator Marco Rubio, among others, have called repeatedly for taking a tougher line with Moscow. The Senate is going to vote on a bill that would strengthen sanctions against Russian Federation for a number of things, from Crimea to interference in our elections.
Corker added that the language "definitely" includes congressional review, which would give Congress oversight over the lifting of sanctions, but Corker didn't specify if it includes new sanctions on Moscow.
His comments come after senators signaled earlier on Monday that they were closing in on a deal on Russian Federation sanctions. He added that Trump has surprised him on several issues. Because those policies were initiated as executive orders, they could be withdrawn by any future president, irregardless of Congress.
A bipartisan group of senators said the new legislation would impose new restrictions on Russian actors linked to human-rights abuses, arms sales to the Syrian government or malicious cyberattacks on behalf of the Russian government.
Senate Foreign Relations Committee Chairman Bob Corker of Tennessee was initially hesitant to pass a new Russian Federation sanctions bill, but he played a key role in drafting the final language. Late last month, reports indicated that the Trump administration was in talks with Russian officials to return the spy houses. His fellow Republicans are putting him in a hard spot if they pass this, which surprises me very much.
But if the Senate's vote is any guide, congressional support for the measure will likely be veto-proof. This amendment makes clear that we will not continue to tolerate such actions, and I am glad we are one step closer to passage of our legislation to hold Iran accountable.