United were pipped to last season's Premier League crown by local rivals Manchester City on goal difference and Sir Alex Ferguson has vowed such a scenario will not happen again.
Ferguson has improved his attacking options by bringing in Dutch hitman van Persie, who was the leading scorer in the top flight last term, from Arsenal.
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.
Giggs also acknowledged that splashing out on the 29-year-old was a departure from United boss Ferguson's transfer policy in recent years.
The Red Devils veteran added: "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."