Schiff brushes off calls for resignation: 'I am more than used to attacks by my GOP colleagues'

House Intelligence Committee Chairman Adam SchiffAdam Bennett SchiffMueller's done, and Dems should be too — because Trump is no Nixon Trump blames Obama for 'anything the Russians did' in 2016 election Mueller report poses new test for Dems MORE (D-Calif.) late Monday brushed off calls for his resignation from Republicans in the wake of a summary of special counsel Robert MuellerRobert Swan MuellerSasse: US should applaud choice of Mueller to lead Russia probe MORE's investigation that showed investigators found no evidence to conclude there was a conspiracy between President TrumpDonald John TrumpGrassroots America shows the people support Donald Trump Trump speaks to rebel Libyan general attacking Tripoli Dem lawmaker: Mueller report shows 'substantial body of evidence' on obstruction MORE's campaign and Russia in 2016. 

“I’m more than used to attacks from my GOP colleagues and I would expect nothing less,” he told CNN. 

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The California Democrat also said on Monday that he accepts the conclusions of the special counsel's investigation from a legal perspective, saying: "I certainly accept the finding that he could not establish proof beyond a reasonable doubt of a criminal conspiracy.”

However, Schiff added that “if there are interactions between the president, his family, his campaign people and the Russians that are compromising, we are going to look to the Mueller report to find out what he established.”

"There are a lot of open questions," he said. 

His remarks came a day after Attorney General William BarrWilliam Pelham BarrEx-FBI official: 'Links and coordination' with Russia happen everyday Dem lawmaker: Mueller report shows 'substantial body of evidence' on obstruction New normal: A president can freely interfere with investigations without going to jail MORE released a brief summary of "principal conclusions" reached by Mueller’s team following its nearly two-year probe into Russian interference in the 2016 election and whether the president’s team colluded with Moscow. 

Barr’s summary asserted that the probe found no evidence of criminal conspiracy committed by the president or any members of his team "despite multiple offers from Russian-affiliated individuals to assist the Trump campaign."

Since then, some Republicans have called for Schiff’s resignation, citing past comments from the top Democrat, who has said repeatedly there was plenty of evidence of collusion. For months, Schiff has said there is evidence of collusion in "plain sight."

White House counselor Kellyanne ConwayKellyanne Elizabeth ConwayThe Hill's Morning Report — Mueller aftermath: What will House Dems do now? George Conway calls for Congress to remove Trump: He's 'a cancer' Hillicon Valley: Cyber, tech takeaways from Mueller report | Millions of Instagram passwords exposed internally by Facebook | DHS unrolling facial recognition tech in airports | Uber unveils new safety measures after student's killing MORE lashed out against Schiff on Monday, saying he “should resign.”

"He has no right as somebody who has been peddling a lie day after day after day unchallenged. Unchallenged and not under oath,” she said on "Fox & Friends.” “Somebody should have put him under oath and said you have evidence, where is it?"

House Minority Leader Kevin McCarthyKevin Owen McCarthyWatchdog: Custodial staff alleged sexual harassment in lawmakers' offices John Legend, Chrissy Teigen lash out at Trump at Dem retreat Republicans call for ex-Trump lawyer Cohen to be referred to DOJ MORE (R-Calif.) also called for Schiff to step down as House Intelligence Committee chairman on the heels of Barr’s summary, while also saying the Democrat “owes the American public an apology.” 

"Schiff has met the standard that he has imposed on other members of Congress of when they should step back from their positions,” he said.

"He has exceeded that standard, and there is no question he should step down from the Intel chairmanship," McCarthy added.