The Westlife singer said that his former manager Walsh had predicted that Olympic medallist Louis Smith will be crowned the winner for 2012.
"Louis asked me, 'Do you think you'll win it?'," Byrne told The Sun.
"I said, 'Well, you see... ' and he said, 'No, you won't. Louis Smith will win it'.
"I was like, 'Cheers, Louis'. But that's just him. He said to me afterwards, 'Listen, well done. The positive is you'll be able to dance when we do our reunion'."
Byrne claimed that Walsh is hoping for a Westlife reunion in the future following their split in the summer. He also has hopes that the X Factor judge will be allowed to attend a Strictly live show if possible.
"He is obviously convinced we are going to do a reunion. And then he said to me, 'Genuinely, I know how hard you need to work with Strictly, so the best of luck with it and hope it goes well'.
"We will hopefully hook up on one of the Saturdays. I'd love him to come down but I don't think ITV will let him."
Speaking about his time on the show so far, Byrne revealed that his wife Georgina Ahern holds no jealousy towards his dancing partnership with Karen Hauer.
He said: "Georgina is very supportive and wants me to do my best. I don't think I'd be here if dancing with Karen was an issue.
"We've all got jobs to do and everyone is very professional. I've heard people have got together in the past but, no disrespect to Karen, it's not for me.
"I don't even feel sexy when I dance because I'm too busy counting. I could be dancing with anyone and all I'd be thinking is '1,2,3,4'."
On his chances of winning the show, he added: "I am very competitive and I want to do well but this is definitely the biggest challenge I have ever taken on.
"It's not that I think I can't win but I'm up against brilliant people. Denise van Outen is great and Kimberley Walsh is fantastic.
"Louis Smith is also really good and one of the favourites. There are at least five people above me at the moment. But who knows with this show? Anything can happen."
Strictly Come Dancing continues with the latest results show tonight (November 4) at 7.20pm on BBC One.