Van Persie has already scored four goals for United, including a hat-trick in the 3-2 win at Southampton last weekend, and Giggs is optimistic he will deliver the goods.
"We lost it on goal difference, so hopefully the goals that he's bringing, if it does come down to goal difference, then we'll have the upper hand this time," Giggs told Sky Sports News.
"The goals that he's scored, and his performances in general, it's obvious he's a world-class player.
"The manager's policy over the last 10, 15 years is to buy young players and develop them, the likes of Cristiano, the likes of Wayne.
"But Robin's a readymade world-class star and is proven. I think he's shown that in the first few games and I'm sure there's more to come."