Campbell has also spoken to Celtic and is hopeful about re-signing for Arsenal
Sunderland manager Steve Bruce said he would like to sign Sol Campbell but will have to wait for an answer as the defender is getting married next week.
Campbell, 35, is a free agent but could stay at Arsenal after rejoining them in January, making 14 appearances.
He has also had talks with Celtic but will make a decision about his future when he returns from his honeymoon.
"He is somebody we are interested in and we hope we can do a bit of business," said Bruce.
"He's obviously got big decisions to make and we wish him well. He's getting married next week and then off on honeymoon and then I think he will give an answer to all the respective clubs when he comes back.
"In the meantime because of the indecision I'm still looking to see what is out there. He would be an asset to the football club because his end of season form and fitness was terrific so he could give us that stability that we want."
Campbell has made over 500 appearances for Tottenham, Arsenal and Portsmouth and has 73 England caps.
But a failed move to Notts County at the start of the 2009-10 season left him without a club, and he was eventually offered a deal at Arsenal.
After speaking to Celtic in June, Campbell said: "I have to talk to Arsenal as well because they are still at the table. I have to talk to everybody.
"But the main thing for me right now is my wedding and honeymoon. I don't think I'll be committing myself to any club until after that."
Bruce's quest to bolster his centre-back options was made more prominent as he revealed that re-signing John Mensah would represent a gamble.
The 27-year-old defender, who was on loan from Lyon last season, was one of Ghana's star players during their run to the World Cup quarter-finals. But he failed to establish himself at Sunderland after suffering an injury-hit season.
Mensah made only 14 league starts at the Stadium of Light but began four matches for his country in South Africa and Bruce thinks the level of his performances will also make him a harder target to pin down.
"If at all possible I would love to bring Mensah back to Sunderland, but we'll see what develops and see if Lyon want to play ball in that respect," Bruce reflected.
"I'm not convinced [of re-signing him] because he's had such a good World Cup that other people will now be alerted to him, but we do know that medically-wise he is not quite right. It is a big gamble, he cost £10m two years ago.
"There is no question on his ability but obviously he has these problems which make it very difficult."
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