But he insists that brains outwit brawn in the boxing ring and that his younger heavyweight rival is "raw."
Up in the tranquillity and the Alpine splendour of his training camp in Austria, Klitschko is honing his own not inconsiderable frame ahead of his world title showdown with Londoner Joshua at Wembley on April 29.
Klitschko is six feet six inches to be precise. 27-year-old Joshua is the same.
The mountains are a pertinent backdrop as the build-up to their collision begins in earnest, with the 41-year-old having thrown open the doors of his spa resort HQ to illustrate the fine shape he is in.
Undoubtedly, IBF world champion Joshua's supremely chiselled features and his stylish look are a part of the appeal which has enabled him to sell out Wembley - just down the road from his Watford home - for a 90,000 British record boxing crowd.
Yet the vastly more experienced Klitschko is adamant that sheer power won't win this fight, even though knockout power is another part of Joshua's huge attraction for Britain's sporting masses.
He said: "AJ has these big muscles that give him confidence. He wants to demolish people right in front of him.
"But did you hear about boxing? It's the sweet science. Otherwise, every other boxer would be pumped up like that.
"The most vicious boxers have been conquered by the sweet science. The ice is thin.
"I have a lot respect for Anthony and what he's doing. He has commitment and physical ability, he can box, he can lift weights, and he is strong. He can be a cross-fit world champion actually. I think he has great capability.
"I believe he could do it. There are a lot of boxers doing it. But cross-fit is not boxing."
"And he is raw in a certain way. He's improved, he's accelerated a lot. But he's still raw."
"At 41, I'm still raw, too
"But we have seen a marked improvement since I lost to Tyson Fury in 2015 and we will see even more from me on April 29."
The gulf in experience between the two men is as astonishingly wide as the gap of 14 years in age, which could be termed as being at least an era or two apart in sporting terms.
Joshua will be having only his nineteenth fight, having arrived ahead of schedule as IBF world champion.
Former two-time world ruler Klitschko will be in his 69th professional contest and his 29th world title bout.
But Klitschko is adamant that his hunger is sharper than ever as he seeks a third term. And he will not give any credence to the suggestion that Joshua is colliding with him without enough experience under his belt.
Klitschko added: "I don't want to hear, ‘oh it was too early for him’. Or that Klitschko is over the hill.”
"Is he making a mistake facing me now? No. I'm sorry. Should I wait another five years? I can't. I am 41, the opportunity is now and everything has its time.
"But it's a challenge with a lot of question marks; I'm looking forward to it. I think it's going to be a great event. I hope both fighters get through it injury free, so there are no other issues."