The 41-year-old singer was expected to perform at the ceremony on December 12, but has now pulled out after announcing he is putting his career on hold to take care of his son, reported Entertainment Weekly.
"We send Michael and his family our very best wishes," BBC music director Bob Shennan said.
In the initial announcement on his Facebook page, Buble said he and his actress wife Luisana Lopilato would pause their professional ventures.
"Luisana and I have put our careers on hold in order to devote all our time and attention to helping Noah get well," he wrote.
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