Sen. Rand Paul Randal (Rand) Howard PaulGOP senator to quarantine after coronavirus exposure The Hill's Morning Report - Sponsored by National Industries for the Blind - Trump seeks to flip 'Rage' narrative; Dems block COVID-19 bill Overnight Health Care: Senate Democrats block GOP relief bill | Democrats reveal Medicaid chief's spending on high-paid consultants | Trump calls question about why he 'lied' about COVID-19 a 'disgrace' MORE (R-Ky.) is pushing back on calls for a special prosecutor to investigate ties between Donald Trump Donald John TrumpTrump says he doesn't think he could've done more to stop virus spread Conservative activist Lauren Witzke wins GOP Senate primary in Delaware Trump defends claim coronavirus will disappear, citing 'herd mentality' MORE's presidential campaign and Russia, saying the effort is driven by "hysteria."

“I’d probably take a step back and you know, talk about what we’re actually investigating here,” Paul said on “The Mike Gallagher Show” Monday.

“I wouldn’t really want a special investigator if all we’re hearing is gossip in the media and nobody’s presented any proof that there have been connections or that any law has been broken, for that matter,” he added.

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“So I think before people jump to sort of the hysteria of a special prosecutor, why don’t we have somebody present evidence of some sort of wrongdoing before we go forward?”

Media reports earlier this month alleged that aides and allies to Trump’s presidential bid were in frequent contact with Russian intelligence officials during the presidential campaign.

Trump has denounced those reports as "fake news," and the chairman of the House Intelligence Committee on Monday said he's seen "no evidence" of contact between Trump officials and the Russian government.

Paul said the question of whether to investigate any potential Russia contacts should be left to law enforcement.

“We need a law enforcement look and if there is any kind of problem law enforcement should pursue it obviously, no matter which party’s involved,” he said. "People are very, very confused on this.”

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“That’s why I’ve been arguing that we shouldn’t politicize this thing, Republican or Democrat. We don’t need a political discussion of this. Law enforcement ought to look at what happened.”

Rep. Darrell Issa (R-Calif.) on Friday seemingly voiced support for Attorney General Jeff Sessions Jefferson (Jeff) Beauregard SessionsTrump's policies on refugees are as simple as ABCs Ocasio-Cortez, Velázquez call for convention to decide Puerto Rico status White House officials voted by show of hands on 2018 family separations: report MORE recusing himself from any possible Department of Justice probe into Russia’s meddling in the 2016 race.

“We are going to ask the Intelligence committees of the House and Senate to investigate within these special areas,” Issa said on HBO’s “Real Time.”

“You cannot have somebody — a friend of mine, Jeff Sessions, who was on the campaign and who is an appointee,” Issa added of a potential probe, referencing Sessions’s ties to Trump’s campaign and administration.

“You are going to need the special prosecutor’s stature and office. Not just to recuse — you can’t just give it to your deputy, that’s another political appointee. You do have to do that.”