House Republicans are not eager to investigate Michael Flynn.

House Oversight Committee Chair Rep. Jason Chaffetz said his committee will not investigate Flynn’s contact with the Russian government, or the extent of his communications with White House officials.

The former national security adviser resigned Monday over a scandal stemming from a call with the Russian Ambassador Sergey Kislyak in which Flynn talked about sanctions before Donald Trump took office.

"It’s taking care of itself," Chaffetz told reporters Tuesday, according to Politico’s Kyle Cheney, adding that further investigation would be up to the House Intelligence Committee.

But Republican House Intelligence Committee Chair David Nunes said Tuesday that his committee won’t look into conversations between Trump and Flynn, according to CNN’s Manu Raju. Nunes cited executive privilege — a privilege typically claimed by the president for withholding information in the public interest.

Instead, Nunes said he is most concerned that the FBI was recording Flynn’s call with the Russian envoy — which was then leaked to press.

"I expect for the FBI to tell me what is going on, and they better have a good answer," Nunes told the Washington Post, in line with Trump’s response to Flynn’s resignation. "The big problem I see here is that you have an American citizen who had his phone calls recorded."

Trump tweeted Tuesday morning that the “real story here is why are there so many illegal leaks coming out of Washington.”

Flynn resigned late Monday amid scandal over the call with the Russian ambassador, which he made the same day President Barack Obama’s administration placed new sanctions on Moscow. The sanctions were punishment for interfering in the 2016 presidential election. The White House has been giving a lot of mixed messages about just how much Trump and top officials knew about the call.

A series of leaks revealed Flynn had lied to top White House officials, including Vice President Mike Pence, about the extent of his conversations with the Russian envoy — and that he had discussed the sanctions. On Monday, the Washington Post again reported that the Justice Department had informed the White House of the dangers of Flynn’s ties with Russia in January. But last week, Trump told reporters he had not heard of any such report.

Watch: Michael Flynn resigns