House Oversight Committee Chairman Jason ChaffetzJason 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 his panel will not investigate President Trump's claims of rampant voter fraud in the 2016 election.

"The president said that he thought there was 'widespread voter fraud,'" Chaffetz told CNN's "New Day" on Tuesday morning.

"I don't see any evidence of that. We're not doing an investigation of that. Sometimes you do, sometimes you don't."

Trump has repeatedly claimed, without providing evidence, that he would have won the popular vote in November if it hadn't been for "millions of people" casting ballots illegally for Democratic nominee Hillary ClintonHillary Diane Rodham ClintonHarris lists out 'racist' actions by Trump in '60 minutes' interview: 'It all speaks for itself' Trump has list of top intelligence officials he'll fire if he wins reelection: report Clinton says most Republicans want to see Trump gone but can't say it publicly: report MORE. He has also called for an investigation into the issue.

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Chaffetz said that while the Oversight Committee won't conduct a probe into voter fraud, it will look into the president's recent allegations that his campaign was wiretapped by the Obama administration. Trump tweeted accusations Saturday morning that Obama ordered surveillance on Trump Tower, without citing any evidence.

"Well the president is directly asking and calling for that," he said. "I've talked with [House Intelligence Committee Chairman] Devin Nunes — they're leading out on that, and we're going to look into it.

"I've learned long enough that you don't presuppose the outcome. When you look around the corner, sometimes you find something that you didn't expect to find."