The 23-year-old missed Friday's Wales' 21-18 third-place play-off defeat to Australia after being given a three-week ban for a dangerous tackle in the semi final against France.
That incident prompted huge debate within the rugby world, but Baber believes that Warburton has the mental toughness to let his rugby to do the talking.
He said: "I've known him since he came up through the academy and he's not the type of individual that would get fazed by that too much.
"He's pretty level-headed, he's an intelligent kid and growing up into an intelligent man.
"The good thing about him is that he's got a lot of good boys around him, both here and with Wales, that bring you back down to earth quite quickly.
"The sending off would have obviously rocked him, but he's got a lot of support around him and getting back in and playing is where he's happiest," he said.
"He's a true professional and I think this will be one of those episodes in his life he will look back on.
"It's good to have somebody in Wales who is good for the sport, a good role model to the kids.
"The respect the fellow has got through the World Cup and the way he's reacted off the field after his sending off speaks volumes about him."
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