Brad Friedel, 40, has been using his instructor for nine years, and she now takes classes for the squad, and coaching staff, prior to training.
It may be a surprising move by a man considered the most archetypal English manager in the top-flight, but Redknapp revealed himself to be a big fan of the exercises.
"It's fantastic. We have been getting in to doing the yoga and I think pilates is just an amazing thing," the veteran boss said.
"It's great for the players. They are all doing it now. Brad Friedel started it here. He brought a lady in to start doing the yoga and if it's good enough for Brad with the shape he's in at 40, then it's good enough for the rest of us.
"It's brilliant. It makes the players more supple. Ryan Giggs is in to it, big time. It certainly has kept him in good shape.
"I joined in last week with all the coaches. I couldn't walk for two days but other than that it was good."