Ohio GOP Rep. Mike Turner on Sunday urged the Senate to quickly pass a bipartisan Russia sanctions bill championed by the late Sen. Lindsey Graham, calling the legislation a fitting part of the South Carolina Republican's legacy and a powerful signal of continued U.S. support for Ukraine during an appearance on CBS News' "Face the Nation."

"This bill would be an important symbolism to say, 'We're going to be with Ukraine.' And I certainly hope the Senate moves it this week," Turner said.

Turner's remarks came one day after Graham died following what his office described as a "brief and sudden illness," ending a yearslong effort by one of Congress' most vocal Russia hawks to tighten economic pressure on Moscow, CBS News reported.

On Friday, Graham announced that he and a bipartisan group of senators had reached an agreement with the Trump administration to advance an updated Russia sanctions package.

The legislation would impose new sanctions and tariffs on countries that continue doing business with Russia, including nations purchasing Russian oil, in an effort to increase pressure on Moscow to end its war against Ukraine.

Graham had spent more than a year pressing for the legislation after first introducing it last April. Although the measure attracted broad bipartisan support in the Senate, Republican leaders delayed bringing it to the floor while awaiting the Trump administration's backing.

Turner said Graham was still advocating for the bill during last week's NATO summit, where lawmakers met with Ukrainian President Volodymyr Zelenskyy.

"As they met with Zelenskyy, Lindsey Graham was making the point of the need for this sanctions bill," Turner said.

The Ohio Republican also reflected on Graham's approach to foreign policy, saying the senator demonstrated that supporting allies was consistent with President Donald Trump's "America First" agenda.

"What's so sad about losing Lindsey is, in debates about whether to pursue a restrained 'America First' foreign policy, you can be America First and still understand that it doesn't have to be America alone," Turner said.

"Allies want America's voice," he said. "America's voice is important. America needs to stand for freedom and democracy and liberty. And that's what they saw in the voice of Lindsey Graham."

Turner said Graham consistently reassured U.S. allies that Washington would stand with them.

"What they saw in Lindsey was someone who was willing to stand up and say, 'You're not alone. America is with you,'" Turner said. "He was that voice with Ukraine."

Turner said he was unaware whether Senate Republican leaders had scheduled a vote but expressed confidence that the measure had enough support to advance.

"The House has passed a version of the legislation," he said. "There were more than a veto-proof number of senators who co-sponsored it. With the White House's support, this bill could be on the president's desk this week."

Lawmakers from both parties echoed that call Sunday, arguing that passing the legislation would honor Graham's longstanding commitment to Ukraine.