House Intelligence Committee Chairman Adam Schiff Adam Bennett SchiffChris Matthews ripped for complimenting Trump's 'true presidential behavior' on Ginsburg Trump casts doubt on Ginsburg statement, wonders if it was written by Schiff, Pelosi or Schumer Top Democrats call for DOJ watchdog to probe Barr over possible 2020 election influence MORE (D-Calif.) late Monday brushed off calls for his resignation from Republicans in the wake of a summary of special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE's investigation that showed investigators found no evidence to conclude there was a conspiracy between President 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 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 Barr Bill BarrProsecutor says no charges in Michigan toilet voting display Judge rules Snowden to give up millions from book, speeches The Hill's Morning Report - Sponsored by Facebook - Washington on edge amid SCOTUS vacancy 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 Conway Kellyanne Elizabeth ConwaySpecial counsel investigating DeVos for potential Hatch Act violation: report George and Kellyanne Conway honor Ginsburg Trump carries on with rally, unaware of Ginsburg's death 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 McCarthy Kevin Owen McCarthyMcCarthy's Democratic challenger to launch first TV ad highlighting Air Force service as single mother Trump asked Chamber of Commerce to reconsider Democratic endorsements: report The Hill's Morning Report - Sponsored by The Air Line Pilots Association - White House moves closer to Pelosi on virus relief bill 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.