"They didn't win the Premier League last year," Giggs told Sky Sports News. "I've been in that position where you've not win it.
"We've got to match their determination, their hunger and their desire. We've got players at the club who've tasted success over the last couple of years and want more."
Following the stalemate with Newcastle, Giggs admits United's title prospects could be improved by the addition of a new striker.
He added: "We're all disappointed we didn't win as every team wants to get off to a winning start, but we did okay.
"Obviously, Carlos (Tevez) was not there on Sunday, which was disappointing, and Wayne (Rooney) missed a bit of pre-season.
"He would have liked a few more games under his belt, while Fraizer (Campbell) is a young lad. Ideally you want four or five strikers, but we haven't got that."