Michael Cohen has attracted fresh scrutiny from lawmakers on the Senate Intelligence Committee, with some saying they want him to come back to testify a second time in the panel’s Russia investigation.

Cohen, President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE’s former personal lawyer who pleaded guilty on Tuesday to campaign finance violations and other crimes, is seen as a key witness in the committee’s inquiry into possible collusion between Trump’s campaign and Moscow.

Cohen testified behind closed doors before committee staff in October. But lawmakers have signaled that they want to bring him back for additional questioning following press reports and statements from Cohen’s attorney about potentially valuable knowledge he has for 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.

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Sen. Mark Warner Mark Robert WarnerFBI director casts doubt on concerns over mail-in voting fraud Democrats call for declassifying election threats after briefing by Trump officials It's time to upgrade benefits MORE (D-Va.), the committee’s vice chairman, told The Hill Thursday that Cohen should “absolutely” testify a second time.

“I think that’s a good idea,” echoed Sen. Angus King Angus KingHopes for DC, Puerto Rico statehood rise Government watchdog recommends creation of White House cyber director position Democrats step up hardball tactics as Supreme Court fight heats up MORE (I-Maine), another member of the committee. “I think his testimony would be important to our committee.”

Cohen has attracted intense attention since pleading guilty to eight felony counts after striking a deal with prosecutors in New York. In court testimony, Cohen implicated Trump in a scheme to pay off two women to prevent damaging information from coming out that could have influenced the election in 2016.

In a rare statement following his guilty plea, Committee Chairman Richard Burr Richard Mauze BurrHillicon Valley: Subpoenas for Facebook, Google and Twitter on the cards | Wray rebuffs mail-in voting conspiracies | Reps. raise mass surveillance concerns Bipartisan representatives demand answers on expired surveillance programs Rep. Mark Walker says he's been contacted about Liberty University vacancy MORE (R-N.C.) and Warner revealed they had “recently re-engaged” Cohen to verify his previous testimony, after press reports suggested Cohen had advance knowledge of the June 2016 Trump Tower meeting between Paul Manafort Paul John ManafortOur Constitution is under attack by Attorney General William Barr Bannon trial date set in alleged border wall scam Conspicuous by their absence from the Republican Convention MORE, Jared Kushner Jared Corey KushnerAbraham Accords: New hope for peace in Middle East Tenants in Kushner building file lawsuit alleging dangerous living conditions Trump hosts Israel, UAE, Bahrain for historic signing MORE, Donald Trump Jr. Don John Trump'Tiger King' star Joe Exotic requests pardon from Trump: 'Be my hero please' Zaid Jilani discusses Trump's move to cancel racial sensitivity training at federal agencies Trump International Hotel in Vancouver closes permanently MORE and a Russian lawyer.

Trump addressed those reports in a tweet on Saturday, saying he did not know about the meeting before it happened.

Cohen, the lawmakers said, had testified that he was not aware of the meeting before it was disclosed in the press last summer. When asked whether he stood by his testimony, Cohen’s legal team said that he did.

In that same statement, Burr and Warner alluded to the prospect of calling Cohen back to testify.

“We hope that today’s developments and Mr. Cohen’s plea agreement will not preclude his appearance before our Committee as needed for our ongoing investigation,” they said.

No firm agreement has been reached for Cohen’s return. Burr said Thursday that it is “yet to be determined” whether Cohen needs to come back.

“So far, Michael Cohen’s only statement to us is that he stands by his testimony from the committee,” Burr said.

In addition to questioning Cohen on other fronts, lawmakers are likely to want to get to the bottom of what Cohen knows about the Trump Tower meeting, which the president has since acknowledged was arranged to get damaging information on Hillary Clinton Hillary Diane Rodham ClintonFox News poll: Biden ahead of Trump in Nevada, Pennsylvania and Ohio Trump, Biden court Black business owners in final election sprint The power of incumbency: How Trump is using the Oval Office to win reelection MORE.

Burr confirmed to The Hill that Cohen told committee staff behind closed doors that he did not know whether Trump had advance knowledge of the meeting.

CNN reported in July that Cohen had told associates that Trump had prior knowledge of the meeting — a detail he was willing to pass along to Mueller.

Lanny Davis, Cohen’s lawyer, batted down that report in an appearance on CNN Wednesday night. When asked by Anderson Cooper if Cohen has information that Trump knew about the meeting before it occurred, Davis replied, “No, he does not.”

But hours earlier, Davis, a contributor for The Hill, suggested to CNN’s Wolf Blitzer that Cohen was “present during a discussion” between Trump and his eldest son about the meeting. He added that his testimony to the Senate and House Intelligence Committees was “accurate.”

Since Cohen’s guilty plea, Davis has said that Cohen has knowledge of various topics of interest to Mueller, including details that could inform his collusion inquiry as well as information on Russian hacking.

When asked whether the statements square with what Cohen told the committee behind closed doors, Warner replied, “I think rather than trying to litigate that back and forth, let’s just bring him in.”

A Democratic committee aide told The Hill that it is “pretty likely” that an agreement will be reached to secure Cohen’s return, though it’s unclear when that might happen. Davis did not return requests for comment.

Steven Cash, a lawyer at Day Pitney and former counsel to the Senate Intelligence Committee, said it would make sense for lawmakers to grill Cohen a second time in light of new developments.

“Anything he told you, you’d want to ask him again, and say, ‘answer truthfully,’ ” Cash said.

Still, others on the committee do not see the immediate need to bring Cohen back.

“We’ve been able to clarify a statement that he made to us,” said Sen. James Lankford James Paul LankfordMcConnell works to lock down GOP votes for coronavirus bill Charities scramble to plug revenue holes during pandemic Warren calls for Postal Service board members to fire DeJoy or resign MORE (R-Okla.). “He came back and clarified to us that his statement to us was the one that was correct, the one that was under oath."

“So, I don’t know that there’s a need,” Lankford said.

Cohen is of interest to the committee for several reasons, including his possible knowledge of the Trump Organization and his work on the proposed Trump Tower in Moscow. Cohen is also mentioned in the Trump-Russia dossier written by former British spy Christopher Steele, though he has said the allegations about him within it are false.

A second appearance by Cohen would give lawmakers the chance to question him themselves, in contrast to his first interview, which was done by committee staff.

Sen. Ron Wyden Ronald (Ron) Lee WydenHillicon Valley: Subpoenas for Facebook, Google and Twitter on the cards | Wray rebuffs mail-in voting conspiracies | Reps. raise mass surveillance concerns On The Money: Anxious Democrats push for vote on COVID-19 aid | Pelosi, Mnuchin ready to restart talks | Weekly jobless claims increase | Senate treads close to shutdown deadline Democratic senators ask inspector general to investigate IRS use of location tracking service MORE (D-Ore.) said that Cohen should be brought back to testify “in public.”

“I called for it a year ago. I was told that that was going to happen. Then there was a change,” said Wyden. “I’m going to push it every single opportunity. I think the public’s got a right to know. It should have happened a year ago and it’s got to be in public.”

The Senate Intelligence Committee has been investigating Russian interference in the election since January 2017, when the intelligence community revealed that Moscow waged a multifaceted campaign aimed at influencing the election. The probe has run concurrent to Mueller’s investigation.

The committee, unlike its counterpart in the House, has maintained the appearance of a bipartisan investigation. The probe has already yielded reports on election security and the intelligence community assessment, and the committee expects to release reports on the Obama administration’s actions and Russia’s use of social media in the near future.

Eventually, the committee will look to answer the collusion question, though it’s possible that it could divide Republicans and Democrats. Burr told The Associated Press in a recent interview that there is “no factual evidence today that we’ve received” but signaled he had not come to a final conclusion.