Osbourne told her TV co-hosts, "I'm not going to cry about anything, because there's nothing to cry about"

Updated May 11, 2016 03:35 PM
Credit: Stefanie Keenan/Getty

brightcove.createExperiences(); Sharon Osbourne is thanking fans and loved ones for support amid her split from husband Ozzy Osbourne.

On Wednesday’s The Talk, Osbourne addressed comments she made a day earlier, in which she said she was avoiding reading stories online about the split and rumors that Ozzy had been unfaithful.

“The girls here [at The Talk] said I have to go on social media and see and have a look, and I was overwhelmed by the reaction, so much love,” Osbourne said Wednesday. “It’s amazing. Of course, again, my family here, my girls here, I’m just uplifted and again thank you all so very, very much.”

News broke on Saturday that Sharon, 63, and Ozzy, 67, had split after 33 years of marriage. They are parents to children Aimee, 32; Kelly, 31; and Jack, 30.

A source told PEOPLE Tuesday that despite the split, divorce isn’t necessarily on the table. Another source said that Sharon was remaining strong through the turmoil.

“Sharon has clearly been emotional since the news broke but is maintaining that confidence everyone knows her for,” the source said. “She’s dealing with a lot but she is not distraught.”