"Sharon has been pretty down," a source close to the couple tells PEOPLE

By Lanford Beard
May 09, 2016 01:45 PM

brightcove.createExperiences(); Sharon Osbourne managed to stand by her man for more than three decades, but now a source close to the TV personality tells PEOPLE she’s struggling to keep it together.

News broke on Saturday that Osbourne and husband Ozzy are splitting after 33 years of marriage, and rumors of infidelity quickly began to swirl.

It’s not the first time Sharon, 63, has faced challenges in her marriage to the rock star, 67, but a source close to the couple thinks it might be the last.

“I don’t know how much more she can take,” says the source. “It just weighs you down.”

Adds the source, “Sharon has been pretty down.”

But The Talk co-host took solace in her children and grandchildren on Sunday: “The kids were over yesterday with their kids and their other halves for Mother’s Day and they had a good day,” the source reveals.

As for Ozzy, another insider previously told PEOPLE, “He’ll be back.”

And that might be exactly the problem, says the first source.

With all the ups and downs the couple has faced over the years, including a major rough patch in 2013 when Ozzy relapsed with drugs and alcohol, for the rocker to force Sharon to face another wave of drama: “Now it’s beyond parody.”

On Monday, Sharon did not appear on her show The Talk and her co-host, Julie Chen, 46, took a few moments to address it.

“There were many tabloid headlines this weekend about Sharon and her husband Ozzy, rumors and speculation that they have split up after 33 years of marriage,” Chen began. “Sharon understandably took today off. We are sending all of our love to her and to her family, and we ask that you do the same.”

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