The 49-year-old has grown exasperated recently with repeated speculation on Merseyside that he will allow the Trinidad and Tobago international to join the struggling Reds on loan before completing a permanent move during the summer.
Bruce insists there has been no contact between the clubs, and that Jones would only be allowed to leave if the Black Cats received an offer they could not refuse.
He said: "Kenwyne Jones is not going to go on loan to anybody for the help of Liverpool or anybody else. I would be mad.
"Now, if Liverpool are going to come and offer an amount of money, then we all know what happens.
Every player - every player - has got a price and a valuation. I have to say though, it would have to be a huge amount of money for us even to contemplate it with a week to go in the transfer window."
Full story in tomorrow's The Northern Echo