Blues failed with a late transfer window bid for the former Soutampton centre-back but recent reports have suggested that the would try to tempt Rovers to part with Mills in a loan deal with a view to a permanent signing at the end of the season.
"It's all nonsense as far as I'm concerned," the Rovers chairman has told Doncaster Freepress.co.uk
"Nobody has contacted me about a loan deal of that nature and if they did they would get short shrift.
"I keep trying to tell people we are not a selling club any more but it doesn't seem to have sunk in.
"Of course everyone has their price and if someone came along and offered £5million to take Matt on loan then we might consider it.
"But, at the risk of repeating myself, we don't want to sell Matt or any of our top players.
"We are out of the bottom three now and Matt wants to help us climb up the table and see how high we can go.
"Obviously he is ambitious to further his career but he is 100% committed to Doncaster Rovers."