Washington (CNN) With a pivotal vote on witnesses fast approaching in the Senate's impeachment trial of President Donald Trump, there's buzz in the Capitol over the possibility that Chief Justice John Roberts might break a tie vote -- and while many senators in both parties believe that's an unlikely scenario, some are still holding out hope.

The chamber could take votes on that question as soon as Friday. Democrats, who have been pushing for witnesses like former national security adviser John Bolton , have been calling for at least four Republicans to join with them to hit the 51-vote threshold to win the vote to allow witnesses. But what happens if there's a tie vote, resulting in a 50-50 split among senators?

There has been simmering debate over the question, with some Democrats openly speculating that Roberts , who is presiding over the Senate trial, might step in to break a tie. Overall, however, there is a widespread expectation on Capitol Hill -- on both sides of the aisle -- that a tie vote would fail.

"If it ends in a tie? Well, I mean if you don't have a majority, then it fails, yeah, the motion fails," Sen. John Thune, a Republican from South Dakota and a member of GOP leadership, told CNN on Wednesday when asked about the vote on witnesses.

"I think the likelihood is -- strong likelihood -- is he would not break a tie and I would respect his position if he didn't," Democratic Sen. Richard Blumenthal of Connecticut said of the chief justice.

Democratic Sen. Bob Casey of Pennsylvania said, "I'm assuming that on something that fundamental, he's gonna make — he'll have the Senate make the determination."

Asked then if a 50-50 vote would fail, Casey responded, "That's my understanding."

Typically, when the Senate is not sitting as a court of impeachment, the vice president is permitted to step in and break tie votes, a power outlined in the Constitution

The Constitution also dictates that the chief justice must preside during a presidential impeachment trial, but nowhere does it say that the chief justice would have tie-breaking power while serving in that role.

Some Democratic senators, however, are still hoping that Roberts might intervene in the event of a tie.

"There is actually precedent for that," Democratic Sen. Chris Coons of Delaware told CNN, when asked if there's been discussion among Democrats over whether the chief justice could break a tie vote on witnesses, pointing to the impeachment trial of former President Andrew Johnson.

During that trial, in 1868, Chief Justice Salmon Chase broke tie votes twice, but those moves and his political stance throughout that trial remain controversial today.

Asked if Democrats believe that the chief justice could potentially break tie votes again during the current impeachment trial, Coons said, "Yes, I mean, I don't speak for all Senate Democrats. It's something I think could happen."

In contrast, during the 1999 impeachment trial of former President Bill Clinton, Chief Justice William Rehnquist saw his role as limited, famously remarking that he "did nothing in particular, and did it very well."

"There is precedent," Blumenthal said, but he added, "It's not modern precedent."

During lunch on Thursday, Senate Majority Leader Mitch McConnell did not indicate whether he believes he has the votes to block witnesses -- but the GOP senators did discuss the possibility of a 50-50 tie on witnesses.

Sen. Mike Braun, an Indiana Republican, confirmed that the topic came up and said "there's a lot of uncertainty" about what would happen if there's a tie in the Senate.

"There's a lot of uncertainty in terms of what happens with the presiding officer," Braun said, referring to Roberts.

And while some Democrats are calling on Roberts to break any 50-50 ties, Sen. Chris Murphy, a Connecticut Democrat, said that he is uncomfortable with the idea given the potential repercussions and precedent it would set.

"I don't want Roberts voting," he said. "That to me is pretty clear that the Constitution specifically gives the power to the vice president to break ties, it's silent on that matter in an impeachment trial. Which leads me to the opinion that he's not supposed to vote."

Senate Democrats have argued strongly in favor of calling witnesses during the trial, saying that a fair trial demands the ability to hear from additional witnesses, such as Bolton who has said he's willing to appear if subpoenaed. Bolton, according to a draft manuscript first reported by The New York Times earlier this week , alleges that Trump told him over the summer that he wanted to continue holding military aid to Ukraine until the country helped with investigations into his potential political opponents.

Senate Republicans with only a few exceptions, however, have pushed back, arguing that calling witnesses would unnecessarily delay the trial and that the Senate is not responsible for pursuing lines of inquiry that the House of Representatives did not in its own impeachment investigation.

The partisan divide has led to tense debate over whether additional testimony should be allowed and intense speculation over what will happen when the Senate votes to decide whether to permit calling witnesses -- a vote expected to take place on Friday following the conclusion of Thursday's question-and-answer session.

As for the question of whether the chief justice could break a tie if it were to occur, a report from the Congressional Research Service put it this way: "The Chief Justice, when presiding over an impeachment trial, would not be expected to vote, even in the case of a tie. If a vote on a question results in a tie, the question is decided in the negative."

This story has been updated with additional developments Thursday.