Dave Grohl's Wife Jordyn Blum Still Not Wearing Ring After Scandal: Marriage 'Not in Great Shape' (Exclusive Source)

Though the dust has settled a bit since Dave Grohl's headline-making revelation last month, his marriage to Jordyn Blum is still “not in great shape.”

It’s been five weeks since the Foo Fighters frontman, 55, announced that he welcomed a child outside their 21-year marriage, and Blum, 48, is still not wearing her wedding ring, a source tells PEOPLE. Grohl has also been spotted out without his band.

Though Blum has “calmed down” since the “initial shock” of the scandal, the longtime couple is not in a good place, according to the source.

“Their marriage is still not in great shape,” the source says, adding that “she's not happy with Dave."

"Jordyn's focused on her girls, their schooling and extracurricular activities,” the source adds of the interior designer, who shares three daughters with Grohl: Violet, 18, Harper, 15, and Ophelia, 10.

And, though the “Everlong” singer retained a divorce attorney before announcing that he welcomed a child with another woman — whom he hasn't publicly identified — the source is not sure if he and Blum will end up filing or not.

A rep for Grohl declined to comment, and Blum did not immediately respond to PEOPLE's request for comment.

Earlier this month, a source told PEOPLE that Blum “doesn’t trust” the rocker anymore.

"It’s been rough for her. Her mind is not on her marriage though,” the source said, adding that she “doesn’t trust Dave” right now.

Rather, the former model is “focused on her own life and her girls,” and “leaning on a group of girlfriends,” the source added. “She feels lucky to be surrounded by love and support.”

Never miss a story — sign up for PEOPLE's free daily newsletter to stay up-to-date on the best of what PEOPLE has to offer, from celebrity news to compelling human interest stories.

Shortly after the “My Hero” singer first publicly announced news of his infidelity in September, a source revealed that Blum had known about the baby “for a while” — and was “shocked” when she first found out.

"She was shocked when she found out about the baby. Her friends are like family, and they rallied around her," a source close to Blum told PEOPLE, adding that over the years, "Dave's flirty behavior has been a hurdle in their marriage.”

“It's been hurtful to Jordyn,” the source added.

Grohl first announced that he had welcomed "a new baby daughter, born outside of my marriage" in a statement posted to Instagram on Sept. 10.

"I plan to be a loving and supportive parent to her. I love my wife and my children, and I am doing everything I can to regain their trust and earn their forgiveness," he wrote. "We're grateful for your consideration toward all the children involved, as we move forward together."