Rep. Trey Gowdy Harold (Trey) Watson GowdySunday shows preview: Election integrity dominates as Nov. 3 nears Tim Scott invokes Breonna Taylor, George Floyd in Trump convention speech Sunday shows preview: Republicans gear up for national convention, USPS debate continues in Washington MORE (R-S.C.) on Sunday defended a referral by special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE that led, in part, to raids on President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE's personal lawyer's home, office and hotel room last week.

“I don’t know what Mueller was supposed to do other than what he did. When a prosecutor comes in contact with information or evidence of a crime, what are you supposed to do, other than refer to the appropriate jurisdiction?" Gowdy asked Chris Wallace on "Fox News Sunday."

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“Now if Mueller had kept something tangential or unrelated to himself, then I’d say fine, you can criticize him but he came into contact with potential criminality. He referred it to the U.S. attorney’s office of jurisdiction, and he did so with the permission of Rod Rosenstein Rod RosensteinDOJ kept investigators from completing probe of Trump ties to Russia: report Five takeaways from final Senate Intel Russia report FBI officials hid copies of Russia probe documents fearing Trump interference: book MORE," he continued, referring to the deputy attorney general.

The referral and subsequent raid on attorney Michael Cohen's office, home and hotel room sparked a strong reaction from the president, who publicly floated firing Mueller after hearing about the raids last week.

“We’ll see what happens. Many people have said, 'you should fire him.' Again, they found nothing and in finding nothing that’s a big statement,” Trump said, referring to Mueller's federal probe into alleged ties between the president's campaign and Russia.

“I think it’s a disgrace, what’s going on,” he added.

Reports surfaced last week that Trump was mulling firing Rosenstein, who would have signed off on the raids.

Gowdy said on Sunday, however, that he did not see any basis for firing the deputy attorney general.

“As for Rod Rosenstein, I don’t see a basis for firing him and his handling of this probe. Now he’s the one who drafted that original jurisdiction for Mueller, so if you think it’s too broad, then you got to direct your criticism toward Rosenstein, and not to Mueller," Gowdy said.

“If you’re upset with Rosenstein because he’s slow-walking document production to Congress, take that up with him. But how this is Mueller’s fault just defies logic to me."