Justin Timberlake has “done everything he can” to “make up for” his DWI arrest for wife Jessica Biel.

A source close to the family tells PEOPLE that since the “SexyBack” musician, 43, was arrested in Sag Harbor, New York for allegedly driving while intoxicated in June, the couple has “been very busy working and just focus on family time when they’re off.”

While Timberlake has been in the midst of his Forget Tomorrow World Tour, the Candy star, 42, has been filming “back to back” projects, including the forthcoming Amazon series The Better Sister. The two are also busy raising sons Silas, 9½, and Phineas, 4.

“They’ve been married for a long time,” adds the source. “They have to work on their marriage like most couples. Being working parents is never easy.”

While the insider says that Biel — who “enjoys privacy” — “was not happy about” her husband’s arrest, “they’re both relieved that it’s in the past.”

Timberlake’s case wrapped in mid-September with a plea deal as he pleaded guilty to the lesser charge of driving while ability impaired. The musician will be required to pay a $500 fine and complete 25 hours of community service.

“They are both committed to staying married,” says the source. “Jess thinks he’s a wonderful dad. They’re a great team.”

During his recent tour stop at Montreal’s Bell Centre on Oct. 4, the 10-time Grammy winner gave his wife, who joined him at the show, a special shout-out for their 12th wedding anniversary. (The pair tied the knot in southern Italy on Oct. 19, 2012, but were legally married in the States beforehand.)

Timberlake posted a tour recap to Instagram the following day, revealing what went down onstage when he celebrated the pair’s latest milestone with his fans.

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“It’s also a very special evening for me,” he said at one point during the concert, as Biel stood up watching him by the side of the stage. “My wife is here tonight. And tonight is our 12-year anniversary.”

“So be nice to her, Montreal, because she’s sharing me with all of you guys tonight,” Timberlake teased, before putting his hand on his heart and looking at Biel. “I love you, baby.”

Later, the 7th Heaven alum reshared the heartfelt moment on her Instagram Stories, alongside a kissy-heart emoji dedicated to her husband. “Wouldn’t want to spend it anywhere else ❤️,” Biel wrote.