@annaduggar / Instagram 1 / 9
@annaduggar / Instagram 1 / 9

It's likely to be a daddy-less Christmas for Anna Duggar's children.

The much-maligned Josh Duggar will probably be far, far away from his family as his children open Santa's presents.

"I don't think he's going to be back for Christmas," a source tells People magazine. "I would be surprised. There would be a huge elephant in the room."

Josh has been in rehab since August after admitting that he'd been cheating on his wife and had an addiction to pornography. The confession came after he admitted to molesting five girls as a teenager, including his sisters.

The scandal has rocked the family and prompted TLC to pull the family's reality show, although the network does air his sister's special, "Jill & Jessa: Counting On."

Josh's four kids -- Marcus, Mackenzie, Michael and Meredith Grace -- are all too young to understand why daddy is absent, but they eagerly await his return, the source told the magazine.

"It's so hard when it comes to the kids," the source said. "They miss their dad. They're like 'Where's daddy?' They've said it before."

It's been reported that Anna visited Josh in rehab last month, taking along his youngest daughter Meredith Grace and his younger brother John-David, a pilot who flew them to the faith-based Illinois rehab center.

"She had a lot to discuss with Josh," a source told In Touch of the meeting. "She thought it best that she go alone so she decided not to bring the kids, except Meredith because she is still breastfeeding."

The meeting, the magazine says, went well.

"She believes everything Josh says," a source told In Touch. "She actually thinks he's getting better."

People's source said Anna conveyed a similar sentiment and apparently said the meeting with her husband was "the best three days of my life."

Duggar family patriarch, Jim Bob Duggar, still holds out hope that Josh can become the man they all thought he was, before he proved them all wrong.

"Jim Bob keeps saying this is just another new level of forgiveness," the source said.