Aaron Nelson, who had a meal last month with the couple at Soho House in Los Angeles, claimed that the pair could live together should their relationship continue on its current path.
Nelson told Heat: "Derek and Cheryl are a wonderful couple. He's very fond of her and it was great to finally meet her.
"Derek is obviously good for Cheryl. I would love to get to know Cheryl more. We told her she is always welcome at our house in Las Vegas and would love for them to come and stay with us."
He added: "Derek loves England, and I know Cheryl is very much a homebody.
"Derek has just bought a new home, which he's very excited about and is hoping that Cheryl feels comfortable there. She has no plans to move in as yet, but I'm sure if things continue the way they are it will be on the cards."
Last month, Dancing With The Stars regular Hough dismissed suggestions of a rift with Cole and claimed that everything was "fine" and that there was "nothing to worry about".