The 35-year-old is a free agent after leaving League Two club Notts County after just one game into his five-year contract.
Writing in his column in The Sun, Redknapp said: “Some people are already claiming I am now going to sign Sol. Well, let’s nail that one straight away – it ain’t going to happen.
“I said during the summer that, if I was the boss of any other Premier League club, I’d sign Sol like a shot.
“That statement still applies today. But there is no way in the world Sol is ever going to play for Spurs again.
“There is simply too much bad feeling towards him from the fans at White Hart Lane.
“It would be too much hassle for him, for me and the club. Anyway, I couldn’t sign him even if I wanted to because of the regulations.
“Sol is now a free agent but Premier League clubs can’t sign any players unless they were out of contract in the transfer window.”