House Oversight Committee Chairman Jason Chaffetz Jason ChaffetzThe myth of the conservative bestseller Elijah Cummings, Democratic chairman and powerful Trump critic, dies at 68 House Oversight panel demands DeVos turn over personal email records MORE (R-Utah) says he won't refuse to investigate the incoming Trump administration but that those calling for investigations now are getting ahead of themselves.

"I will when there is an allegation of wrongdoing. But he hasn't even been sworn in yet," Chaffetz told the Salt Lake Tribune Thursday. "At least let the guy actually become a federal employee before you start screaming for investigations."

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The ranking Democrat on the Oversight Committee, Rep. Elijah Cummings (Md.), has twice asked Chaffetz to initiate a probe into possible conflicts of interest with President-elect Donald 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 vast business holdings.

The most recent attempt came in a joint letter Monday from the committee’s Democrats calling for “rigorous oversight” of the billionaire’s business ties.

Chaffetz has been dismissive of the Democrats’ calls for an investigation and told the Tribune on Thursday that he’s inclined to give Trump “leeway” during the transition.

"I think it's almost silly to suggest the investigation should begin now when he hasn't even been sworn in," he said. "I didn't start an investigation of Hillary Clinton Hillary Diane Rodham ClintonButtigieg stands in as Pence for Harris's debate practice Senate GOP sees early Supreme Court vote as political booster shot Poll: 51 percent of voters want to abolish the electoral college MORE before she was sworn in [as secretary of State]; it was when the inspector general found potential wrongdoing that we started to look into it."

"There will come a point when the Oversight Committee will be probing some things I'm sure the executive branch will not want us to be looking at," Chaffetz added. "It's happened for 200 years and it will happen in the Trump administration as well."