Democrats are trying to solve a mystery in Washington: Will 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 ever testify before Congress?

Weeks ago, it seemed all but certain that the special counsel would head to Capitol Hill in May to answer questions about his eponymous 448-page report on Russia's election interference and potential obstruction of justice by President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE.

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Now, some frustrated Democrats say his testimony could slip into June, while others are beginning to doubt he’ll ever show, saying Mueller has no desire to become a political pawn in an ugly, partisan fight that’s become a proxy battle for the 2020 presidential race.

“He doesn’t want to be trashed by the Republicans,” said Rep. Jackie Speier Karen (Jackie) Lorraine Jacqueline SpeierOvernight Defense: House to vote on military justice bill spurred by Vanessa Guillén death | Biden courts veterans after Trump's military controversies House to vote on 'I Am Vanessa Guillén' bill Overnight Defense: Trump's battle with Pentagon poses risks in November | Lawmakers launch Fort Hood probe | Military members can't opt out of tax deferral MORE (D-Calif.), who serves on the House Intelligence Committee and is close to Speaker Nancy Pelosi Nancy PelosiHoyer: House should vote on COVID-19 aid — with or without a bipartisan deal Ruth Bader Ginsburg lies in repose at Supreme Court McCarthy threatens motion to oust Pelosi if she moves forward with impeachment MORE, a fellow California Democrat.

“Does anyone want their reputation dragged through the mud falsely? You’ve seen Jim Jordan James (Jim) Daniel JordanHouse panel pulls Powell into partisan battles over pandemic Sunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election House passes resolution condemning anti-Asian discrimination relating to coronavirus MORE [R-Ohio] in action. He can handle his own, but they’ll ask questions like ‘Why didn’t you look at this, and why didn’t you look at that?’ I mean, talk about a thankless job,” Speier added.

Many Democrats on the House Judiciary Committee have more questions than answers about whether Mueller and Trump’s former White House counsel Don McGahn will testify. The White House has already instructed McGahn not to comply with a request for documents from the committee, and Trump has signaled he is likely to assert executive privilege to block McGahn from testifying at a hearing scheduled for Tuesday.

“It’s a mystery about Mueller, and it’s a mystery about McGahn. I hope they both come,” Rep. Karen Bass Karen Ruth BassOutrage erupts over Breonna Taylor grand jury ruling Patients are dying unnecessarily from organ donation policy failures Hispanic caucus report takes stock of accomplishments with eye toward 2021 MORE (D-Calif.), a senior Judiciary member, told The Hill. “But right now, I do not believe they have refused. I do not know if they are being told they can’t come. So we maintain a hopeful position.”

Committee Chairman Jerrold Nadler Jerrold (Jerry) Lewis NadlerDemocrats shoot down talk of expanding Supreme Court Schumer: 'Nothing is off the table' if GOP moves forward with Ginsburg replacement Top Democrats call for DOJ watchdog to probe Barr over possible 2020 election influence MORE (N.Y.) and other Democrats want to hear from the special counsel rather than Attorney General William Barr Bill BarrHarris faces pivotal moment with Supreme Court battle Hillicon Valley: DOJ proposes tech liability shield reform to Congress | Treasury sanctions individuals, groups tied to Russian malign influence activities | House Republican introduces bill to set standards for self-driving cars McCarthy threatens motion to oust Pelosi if she moves forward with impeachment MORE, whom they accuse of mishandling Mueller’s findings in a way that was politically beneficial to Trump as he seeks a second term in the White House.

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Democrats are particularly interested in questioning Mueller about a letter he sent to Barr in late March asserting that the attorney general’s four-page memo to Congress did not “fully capture the context, nature and substance” of his investigation’s conclusions and pressing him to quickly release more details from the report.

But Judiciary Republicans are likely to focus on a distinctly different line of questioning, one that focuses on the origins of the Russia probe, which they allege was started by FBI agents seeking to undermine Trump.

“I have no objections to Bob Mueller testifying,” said Rep. John Ratcliffe John Lee RatcliffeDemocrats call for declassifying election threats after briefing by Trump officials Overnight Defense: Top admiral says 'no condition' where US should conduct nuclear test 'at this time' | Intelligence chief says Congress will get some in-person election security briefings FBI chief says Russia is trying to interfere in election to undermine Biden MORE (R-Texas), who served as a federal prosecutor in Texas when Mueller was FBI director. “I have a lot of questions that I would love to get answers from Bob Mueller that would provide clarification to things that I think have been spun inappropriately in the media. I think he ought to have that opportunity.”

Just three months into his second go-round as attorney general, Barr has repeatedly said he has no problem with Mueller testifying, telling The Wall Street Journal on Wednesday, “It’s Bob’s call whether he wants to testify.”

And Trump has left it up to Barr to make the ultimate call. But while the president has at times expressed ambivalence over Mueller testifying, he engaged in biting public attacks against Mueller and his prosecutors throughout the investigation, characterizing the 22-month probe as one run by “angry Democrats.”

On May 5, Trump publicly objected to the idea of Mueller answering lawmaker questions, tweeting that the special counsel “should not testify.”

Nadler and his tight-knit inner circle of counsel and staff have been directly negotiating with the Department of Justice (DOJ) for Mueller’s testimony. But he has kept those talks extremely close to the vest, not even reading in senior members of his panel, including Vice Chairwoman Mary Gay Scanlon Mary Gay ScanlonClark rolls out endorsements in assistant Speaker race Eyes turn to Ocasio-Cortez as she seeks to boost Biden What factors will shape Big Tech regulation? MORE (D-Pa.).

“I am the vice chair, but I am not directly involved in those discussions,” Scanlon said.

Nadler has accused the DOJ of refusing to cooperate and deliberately dragging its feet, and he’s threatened to subpoena Mueller if he encounters more resistance.

“We will subpoena whoever we have to subpoena,” Nadler said. “We will hear from Mueller. We will hear from McGahn. We will hear from a lot of other witnesses.”

House Intelligence Committee Chairman Adam Schiff Adam Bennett SchiffPelosi, Democrats unveil bills to rein in alleged White House abuses of power Chris 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 MORE (D-Calif.) is also trying to bring Mueller before his own panel, though it’s believed Judiciary would get the first crack at the special counsel. Any testimony by Mueller before the Intelligence panel would likely take place in a closed-door session.

Barr could order Mueller not to testify or try to delay his testimony while the special counsel is still employed at the DOJ. That would likely prompt a congressional subpoena.

But Mueller is expected to leave his DOJ post in the near future, which would give the Trump administration little control over his testimony as a private citizen. Some Democrats, however, fear Barr and White House officials will take whatever steps are needed to delay his potential testimony.

“They will probably keep him in employment so he can’t be a private citizen” until after the 2020 election, Speier said. “Talk about obstruction. There is obstruction everywhere we look.”

Peter Carr, a spokesman for Mueller, declined to comment Friday on the negotiations surrounding potential testimony. He also provided no update on the timing of Mueller’s eventual departure from the Justice Department.

Carr said in early May that Mueller “will be concluding his service within the coming days.”

The Justice Department and Nadler’s panel are already locked in a related battle over Mueller’s unredacted report and underlying evidence. The Judiciary Committee voted along party lines last week to hold Barr in contempt for failing to comply with a subpoena for Mueller’s full report and evidence.

Trump, on the recommendation of the DOJ, asserted executive privilege over the subpoenaed materials as the committee moved forward with the contempt vote.

The Wall Street Journal reported Thursday that question of whether the privilege assertion could impact Mueller’s testimony led, in part, to the current impasse.

The Justice Department did not respond to a request for comment.

Scanlon, the Judiciary panel’s vice chairwoman, called it “complete poppycock” if the DOJ is trying to cite executive privilege as a way to stop Mueller’s testimony.

“The report is public. You can talk about a public report. The report talks about things that happened before the president was the president. So you cannot exert executive privilege over something that happened before you were the president,” Scanlon told The Hill. “It’s just completely off the charts in terms of being an excessive, overly broad attempt to exercise executive privilege.”

But if Mueller is unwilling to testify, that would create a new and unexpected hurdle for Democrats who want to know why he didn’t ultimately make a call on whether Trump committed a crime after examining 10 instances of possible obstruction.

Mueller remained quiet throughout his nearly two-year investigation, speaking only through court filings and his exhaustive report on Russian interference, a redacted version of which Barr released publicly in April. He was rarely seen in public during the course of the probe and was notably absent at Barr’s press conference announcing the report’s release.

Barr issued a four-page memo to Congress on March 24 revealing that Mueller did not find evidence to charge members of the Trump campaign with conspiring with Russia; he also revealed that Mueller’s report explicitly did not “exonerate” Trump on allegations of obstruction. The attorney general and his deputy deemed the evidence insufficient to accuse Trump of obstructing the probe.

“Mueller has to be heard from,” said Rep. Gerry Connolly Gerald (Gerry) Edward ConnollyJudge issues nationwide injunction against Postal Service changes House panel advances bill to ban Postal Service leaders from holding political positions Shakespeare Theatre Company goes virtual for 'Will on the Hill...or Won't They?' MORE (D-Va.). “Only he can provide definitive testimony with respect to the interpretation of his report, and commenting on sources such that he can and meaning and further implication.”

“Tell us all about why you decided you could not indict the sitting president. Tell us all about why it looks like you essentially said the president committed obstruction of justice. Are we reading that right?” Connolly added. “Only under questioning can we get answers to those critical lines of inquiry.”

Olivia Beavers contributed.