State Supreme Court Justice Michael Obus said he spoke privately with the juror, who was depicted on the cover of a New York newspaper over the weekend making an "OK" hand signal to the defense.
Obus said the juror told him "that nothing that has happened will, from her point of view, prevent her from deliberating in good conscience with the other jurors, and she has said she is prepared to do so and is doing so."
"It seems to me that it would be inappropriate to declare a mistrial when all 12 jurors, who have devoted six months of their lives to this trial, are prepared to continue," said Obus.
When the jurors returned to the courtroom, he told them to let him know "if at any time any of you feel that the deliberations cannot continue properly for whatever reason."
Lawyers for former Tyco chief executive L. Dennis Kozlowski and former finance chief Mark Swartz had said the media — in addition to the other 11 jurors — were putting unfair pressure on the juror. The lawyers suggested the lone juror, No. 4, was holding out for an acquittal.
Kozlowski and Swartz are accused of looting $600 million from the conglomerate. The trial has come to symbolize the corporate excesses of the late 1990s.
The defense has argued that the two men earned every dime and that the board of directors and the company's auditors knew about the compensation and never objected.
Last week, jurors indicated in a note that the atmosphere in the jury room had turned "poisonous" to the point of name-calling. While the prospect of a mistrial loomed Friday, jurors said they wanted to return Monday to continue deliberating.
They did just that, even sending a note Monday afternoon asking the judge to clarify the concept of "acting in concert," an element of one of the grand-larceny charges against Swartz.
According to The New York Times, the jury seems split over the question of criminal intent: whether Kozlowski and Swartz knew they were breaking the law when they got huge bonuses, loans and other perks from the Tyco board.
The juror depicted in news accounts is a 79-year-old retiree from Manhattan. The woman worked as a teacher before receiving a law degree from New York University in her late 50s, going on to practice for several years in New York.
In requesting the mistrial, defense lawyer Stephen Kaufman showed the judge the front page of Saturday's edition of the New York Post, which bore a sketch of the juror and called her "Ms. Trial" in large type. The paper identified her by name and called her a "paranoid socialite" and "batty blueblood." The Wall Street Journal also identified her by name.
Juror No. 4 made a hand motion on Friday as she passed in front of lawyers on her way to the jury box, bringing her hand near her face. Some in the courtroom interpreted it as an "OK" signal, although lawyers said they did not see it.
"As it was described to us, the alleged gesture looked nothing like what was depicted in the Post," Kaufman told the judge. But he added, "Avoiding the front page would have probably been impossible for any juror who left his or her home on Saturday."
Kaufman also cited media comments by an alternate juror in the case that suggested other jurors were hostile toward juror No. 4, and said, "What was a poisonous atmosphere on Thursday must now be lethal."
In arguing against the defense motion, Assistant District Attorney Marc Scholl noted the judge has repeatedly urged jurors to stay away from media coverage. He said it was mere speculation to suggest the jury had disobeyed those instructions.
"The law presumes that the jurors will follow the court's instructions," he said.
The defendants in the 6-month-old trial are accused of stealing from the Bermuda-based conglomerate they once headed by hiding excessive pay packages from the company's board and by selling stock at inflated prices.
Much of the trial has been dominated by descriptions of flamboyant behavior and breakneck spending emblematic of the era of corporate scandal that produced a string of recent high-profile white-collar trials.
Tyco, which has about 270,000 employees and $36 billion in annual revenue, has operations headquarters in West Windsor, N.J., but is based in Bermuda. It owns the ADT home security business.
So far, the judge has denied four defense motions for a mistrial.
"Unless someone drastically changes their mind, I think the jury's going to come back the way it left: in turmoil," says CBS News Legal Analyst Andrew Cohen.
"If the media knows that one juror is a holdout," says Cohen, "then the whole deliberative process has been compromised in such a way that the judge simply can't allow."
CBS News Correspondent Kelly Cobiella reports even if the judge eventually declares a mistrial because of a hung jury, that is not expected to be the end of Kozlowski and Swartz's legal problems.
Prosecutors are likely to put them on trial a second time, or, offer the two men a plea bargain.