The 21-year-old star said in a statement she is excited, reported Contactmusic.
"We're thrilled by our news," the couple said.
This will be Osbourne's second child as his former girlfriend Megan gave birth to their baby boy eight months ago.
Jacqueline and Osbourne have had an on-and-off relationship, as rumours swirled the internet sometime back about their break-up but they confirmed they were back together in June with a picture on her Instagram page.
"Becoming a father has been the most amazing thing to ever happen to me. I can't believe I'm going to be dad again, I'm truly blessed," Osbourne said.
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