Jessica BielandJustin Timberlakeare working through their issues after his hand-holding with another woman.

“He’s charming and outgoing. And obviously he drank too much this time,” says an insider of Timberlake being spotted last month mingling closely withAlisha Wainwright, his costar on anupcoming filmproject.

The “Can’t Stop the Feeling” singer, 38, was seenholding handswith Wainwright, 30, on Nov. 23, during an outing with friends in New Orleans — an indiscretion for which Timberlake laterapologized, assuring fans that “nothing happened” between him and his scene partner.

After the night out made headlines, Biel, 37, took a casual stroll in Los Angeles, where she was spotted stillwearing her wedding ring.

An additional source close to Biel told PEOPLE that the pair will “work through this. It was good that he apologized publicly but obviously the real work he is doing is in private and hopefully this was just a bad drunken night of this type of behavior.”

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Justin Timberlake Jessica Biel

Offering an explanation, Timberlake addressed his followers onInstagramWednesday night, clearing up what he called a “strong lapse of judgment.”

“I stay away from gossip as much as I can, but for my family, I feel it is important to address recent rumors that are hurting the people I love,” he wrote.

He continued: “A few weeks ago I displayed a strong lapse in judgment — but let me be clear — nothing happened between me and my costar. I drank way too much that night and I regret my behavior. I should have known better.”

In the statement, he personally apologized to Biel, whom hemarriedin 2012 and with whom he shares4-year-old son Silas.

“This is not the example I want to set for my son,” Timberlake added. “I apologize to my amazing wife and family for putting them through such an embarrassing situation, and I am focused on being the best husband and father I can be.”

“This was not that,” he added.

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According to a rep for Wainwright, “There is no validity to this speculation. They are currently working on a project together. Members of the cast and crew were all together.”

“The video may look a way, but literally it was nothing. It was some friends, members of the team, crew and people like that. They all know each other and were hanging,” the source said. “Like come on, they’re on an open balcony in New Orleans and he’s famous. It was nothing.”

source: people.com