Shaw will battle Evra to be Louis van Gaal's first-choice left-back, but Yorke is confident that it will be the Frenchman who helps the 18-year-old become the complete defender.
"I don't think he's the complete article – he's still a very young boy – but by going to United you'd expect him to develop," the former United striker told Sky Sports News.
"You can see the potential, and I think that's why Evra is still at the club, so he can learn from someone who's been very successful at the club. He will learn a lot about being at a top football club and I'm sure he will turn out to be money well spent."
Evra signed a new one-year deal with United in May.