Tottenham offered £15m for Jones last summer but Bruce turned them down flat. A similar offer in January, however, should be sufficient to make the deal work.
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Meanwhile, Bruce has urged England Under-21 manager Stuart Pearce to hand Jordan Henderson his first cap.
'It is not my squad to pick but it is only a matter of time for the boy if he keeps his feet on the ground,' said Bruce of the local youth team product.
'We have got a very, very good player on our hands and he is only going to get better.'
Henderson only made his debut for Sunderland a year ago though has established himself as a first team regular this term.
The 19-year-old scored his first Premier League goal against Manchester City and Bruce views the youngster's form as a bright aspect of an otherwise difficult run for his side who have won only once in their last nine matches.
'Jordan has had a fantastic start to his career and since day one, since I walked through the door, he has been nothing short of fantastic,' said Bruce.
'I keep saying there is a lot still to learn which is normal when you are 19, but the kid was fantastic again at the weekend. He made a goal, scored a goal and was close to scoring against Portsmouth and Villa, so he has had a great start to his young career.
'He still has to keep his feet on the ground, work hard, but he seems level-headed enough to do that.'