"It's deplorable what he said. That's what I called it from the floor of the Senate," Isakson told a Georgia radio station . "It will be deplorable seven months from now, if he says it again."

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Isakson's interview comes after he warned that he would speak out against Trump's renewed criticism of McCain, who he has repeatedly lashed out at the GOP senator's vote against the 2017 Republican health care bill, in addition to mocking him for being captured as a fighter pilot during the Vietnam War.

During the interview, Isakson raised broader concerns about criticizing veterans, saying, "We should never reduce the service that people give to this country."

He added that Trump's remarks showed a "lack of respect for his service" that he didn't believe is "appropriate."

The president and McCain had a rocky relationship after Trump, when he was a presidential candidate, criticized the senator for being a prisoner of war in Vietnam.

"I was never a fan of John McCain, and I never will be,” Trump told reporters during an Oval Office meeting this week with Brazilian President Jair Bolsonaro.

Trump also relitigated the 2017 ObamaCare repeal-and-replace vote, saying he was "unhappy" with McCain's surprise "no" vote, which effectively ended the GOP effort to overhaul the 2010 Affordable Care Act. “He campaigned on repealing and replacing ObamaCare for years and then he got to a vote and he said ‘thumbs down,’” Trump added. “I think that's disgraceful, plus there are other things.” “He campaigned on repealing and replacing ObamaCare for years and then he got to a vote and he said ‘thumbs down,’” Trump added. “I think that's disgraceful, plus there are other things.”

Schumer announced in August that he would try to rename the Senate office building but quickly faced political headwinds. His new effort is likely to face the same challenges.

Isakson said on Wednesday that he would "fight for the legacy" of Richard Russell, a Democratic senator from Georgia.is just playing politics," he added.