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(CNN) —  

Special counsel Robert Mueller’s team has expressed reluctance to him testifying publicly in front of the House Judiciary Committee, according to sources familiar with the matter.

The special counsel’s team has conveyed the notion that Mueller does not want to appear political after staying behind the scenes for two years and not speaking as he conducted his investigation into President Donald Trump. One option is to have him testify behind closed doors. But the notion that Mueller would only answer questions in private has become a sticking point, according to a source, as Democrats believe the public needs to hear directly from the special counsel.

Rank-and-file Democrats made clear Tuesday they believe Mueller must testify publicly given the gravity of the investigation.

Sources caution numerous options are being considered in the negotiations between the committee and the special counsel’s office at this point.

Justice officials are generally supportive of how the team is proceeding with negotiations. As Attorney General Bill Barr told The Wall Street Journal last week: “It’s Bob’s call whether he wants to testify.”

Special counsel spokesman Peter Carr and the Justice Department declined to comment on the current status of negotiations.

House Judiciary Chairman Jerry Nadler, a New York Democrat, has repeatedly said that Mueller must appear, and he will subpoena Mueller if necessary.

“Eventually we will hear from Mueller because … we will subpoena him if we have to,” Nadler told CNN earlier this month. “I certainly hope it doesn’t come … to our necessity to subpoena him,” he added.

Nadler declined to comment Tuesday when asked by CNN if he’d agree to allow Mueller to testify behind closed doors, but other Democrats on the committee voiced concerns.

“I think it’s important for Mr. Mueller to come before the committee and testify in public,” said Rep. David Cicilline, a Democratic member of the Judiciary Committee. “This is an investigation that was done on behalf of the American people after our democracy was attacked by a foreign adversary. They have a right to see the results of the investigation and really hear from the individual who led it.”

Rep. Pramila Jayapal similarly added the committee should be “very careful about” restrictions on Mueller’s testimony. “If it cuts off the ability for us to talk about it publicly, we’re not sure how that helps us because we need the American public to also understand what is happening,” she told CNN.

Yet Rep. Doug Collins, the top Republican on the Judiciary Committee, suggested at Tuesday’s hearing, a meeting where former White House counsel Don McGahn did not appear after being subpoenaed, that Democrats appear to have a lack of urgency in scheduling Mueller’s testimony.

“We’ve subpoenaed the documents, we’ve subpoenaed the underlying documents, we’ve subpoenaed stuff that we can’t get, but the one thing that we seem to avoid is Mr. Mueller himself, the one who wrote it,” Collins said. “We’ve asked since April about Mr. Mueller coming. But every time we seem to get close to Mueller, Mueller just gets pushed on a little bit. Haven’t seen a subpoena here, and this is what’s really amazing – we’ll get back to subpoenas in a moment – but just think about that. You wanted the work of the author, but you don’t want to talk to the author.”

After the hearing, Collins would not say whether he’d support a subpoena for Mueller’s testimony.

Separately, Nadler told CNN’s Chris Cuomo on Monday he doesn’t know what’s keeping Mueller as an employee of the Justice Department, suggesting he was “more subject to their discipline” than he would be as a private citizen. “The report is finished. I don’t know why he is still there,” Nadler said.

Mueller has been seen arriving for work almost every morning since the report was released in April.

The Justice Department has not commented on what work still remains.

This story has been updated with additional developments Tuesday.

CNN’s Sam Fossum and Alison Main contributed to this report.