“I had no choice but to put it aside,” he told the Daily Telegraph.
“One of the reasons I felt I could do it again was I don’t think the public would ever understand how much their love and compassion and support meant to my family.
“And I wanted, in a small way, to say thank you for that. When I felt I could, I wanted to come back and show them that.”
Bublé has also opened up about the joy of welcoming his third child, a daughter named Vida.
The family weren't able to travel to Australia this week, as his two sons Noah and Elias begin school in Vancouver this week.
“They’re not here and I am really lonely, thank you for asking,” he joked to the Telegraph.
While in Australia, Bublé also performed the world premiere of his new song When I Fall In Love.