Despite Matt Lauer and his wife, Annette Roque, stepping out separately on Wednesday without their wedding rings, a source tells ET that the two are still living together in the Hamptons.

The source says that Lauer and Roque are staying at their home in Sag Harbor, New York, with their three children, adding that a report that Roque removed the couple’s younger kids out of school to flee the United States is "not true.”

According to the source, following 59-year-old Lauer's firing from the Today show on Nov. 29 due to "inappropriate sexual behavior in the workplace," his first priority is his family.

“His only focus right now is his family," the source says of the embattled newsman. "He’s with them in the Hamptons and he’s working on keeping a low profile while he deals with this tough situation.” 

On Wednesday, both Lauer and Roque stopped by Jimmy Jims Deli in Sag Harbor, though separately. A source at the deli -- where Lauer and his family are frequent customers -- tells ET that Lauer was friendly as he picked up breakfast.

"Matt is a good customer of ours," the source says. "He’s a really nice guy.”

Lauer and Roque have been married since 1998, though their 19-year marriage hasn't been without any issues. A source previously told ET that the pair was already spending time apart even before Lauer's sexual misconduct scandal.

“Matt and Annette lived separately, with Matt spending many nights in his Manhattan apartment," the source said.

Meanwhile, Roque's father, Henri, spoke to the Daily Mail on Wednesday, and said that his daughter and Lauer were not attempting to work it out following Lauer's sexual misconduct scandal.

"She is not going to stay with him and work it out," Henri said. "They are not together trying to work it out."

Watch the video below for more on Lauer and Roque's marriage.

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