Ex-Saints boss Redknapp has already wound up his old club by signing England Under-21 defender Martin Cranie in the summer.
Pompey No2 Adams admitted: "I was at their game against West Brom but I wasn't watching Andrew Surman.
"I quite like the look of Nathan Dyer and he's one we've been looking at for a while. He's a good, young player.
"When Harry says 'We need somebody on the right, do you know anyone?', I have to come up with options.
"At the moment I'm looking all over the place, I'm always looking. But yes, we've been watching Dyer."