"We were waiting for you not only to grow as a family ... you gave us light, hope, finally you are and you will be our Soul Life !!"
The couple already have Noah, five - who has been battling stomach cancer - and another son, Elias, who was born in January 2016.
Having taken two years away from the spotlight to deal with the terrifying diagnosis, Michael - who's son has made a full recovery - opened up about his fears over returning to music during a July performance in London.
Addressing the crowd, Michael said: "It has been two years since I've been on stage. Like any human, of course I worried that whatever I had at one point was gone. But after two songs, I'm better than I was before."
The choked-up crooner fought back tears as he continued: "I don't know if it's the rain or Frank Sinatra is crying right now."
Michael also paid a sweet tribute to his son with an emotional rendition of You Are Always On My Mind, before bringing out the adorable tot onto the stage.
Michael's performance comes just days after he described Noah's cancer battle as "hell" and labelled the youngster a "superhero".
Talking to the Herald Sun, the Feeling Good hit maker opened up about the struggles he and his family went through.
"You know what? Hell seems like a really nice place to vacation compared to where we've been," the singer said.
Noah was diagnosed with stomach cancer in Halloween of 2016, when he was just three years old.
Both Michael and his wife put their careers on hold after the diagnosis in order to focus on Noah's health.
Fortunately, the youngster has since recovered and Michael has returned to work.
"I've been to hell. I don't talk about the whole story, not even to my friends because it hurts too much," the Canadian native said about his son's battle.
"It's my boy. He's a superhero, he doesn't need to relive it over and again. But I've been to hell. And you know what, hell seems like a really nice place to vacation compared to where we've been," Michael told publication.
The Grammy Award winner revealed that Noah is doing well but they he will still have to have regular check-ups.