Roos has been anointed as the ideal man to rescue Melbourne from their mire of mediocrity, ever since the club sacked Mark Neeld in June and named Neil Craig as interim coach.
Roos, who steered the Swans to their 2005 grand final win that snapped a 72-year premiership drought, had remained quiet about the Demons' interest and said many times that he was unsure if the fire was there to coach again.
But on Friday, the 50-year-old acknowledged discussions with Demons chief executive Peter Jackson had taken place and that he was warming to the idea of coaching the club.
"There's more interest now, and you always try to be as honest as possible," Roos told Fox Footy on Friday night.
"I'm certainly not at the point where I would say I will do it, but I'm certainly thinking about it.
"I've probably gone from zero to about that 50-50 market.
"Then you have to decide if you're serious about it."
Roos recently informed Brisbane he was unwilling to relocate to Queensland and as such would not put his hand up to be Michael Voss' successor.
There was a massive betting plunge on Roos in the market for the Melbourne coaching position on July 1.