Redknapp spent decades managing in the Premier League when United were winning annual honours under Sir Alex Ferguson.
And the ex-Spurs boss believes Ole Gunnar Solskjaer has United returning to their prime, with the club currently sitting in fifth after going 15 games unbeaten.
Redknapp told the MUTV Group Chat: "[Wolves] have been amazing, haven't they? I do like the manager [Nuno Espirito Santo] and the job he's done has been amazing. They could creep in there. Leicester looked home and hosed and they're really struggling now and then Wolves, yeah.
"There's nothing to say they can't make it. But I think United will be in the top four, I think they'll push on. They've made a couple of signings in the last year or so that have made a big difference. Fernandes and Harry Maguire gave them real backbone. [Aaron Wan-Bissaka]'s come in and done well.
"I saw Ole's looking for another striker. They're not easy to find when you're looking round for top, top players but I reckon maybe with two or three players, they're going to be a real force in the next year or so.
"I see a massive improvement, I really do. They look a team suddenly. I had big doubts about them early in the season when they had a bad run, but they've turned a corner now. Rashford, Greenwood, incredible young players coming through again. The future's starting to look good."