The U.S. Senate on Wednesday overwhelmingly advanced a Russia and Iran sanctions bill named in honor of Sen. Lindsey Graham.

Axar.az reports, citing ABC News, the vote was a procedural one and additional votes must be taken in the Senate before it is approved. However, the bipartisan showing suggests the bill will easily be approved by the Senate and sent to the House.

The bill is named after Graham, who was one of the Republican conferences most outspoken Ukraine allies, and who had been working to carefully negotiate the package with the White House in the days leading up to his sudden and unexpected death earlier this month.

The package would impose primary and secondary sanctions on Russia and other countries that support Russia in its invasion of Ukraine. The sanctions target Russian political officials and oligarchs, banks and financial institutions, and the Russian shadow fleet, according to a release from the bipartisan group.

The legislation also allows the president to impose tariffs, but limits the scope of those tariffs to the five largest importers of Russian crude oil or gas and the top five countries that aid Russia's energy sanctions evasion.

The bill also extends previously approved sanctions on Iran that were set to expire this year until 2031, restricting funding for Iran's energy and weapons sector.

The bill has more than 60 cosponsors and is therefore expected to easily pass the Senate. Tuesday night's vote is procedural, but sets the bill up for final passage some time later this week.

The House is out of town until Aug. 31, so the bill will likely not head to Trump's desk until the House acts on it after its scheduled recess. A White House official said that the bill meets the president's call to include sanctions on the Iranian regime.