United have wiped out an 11-title deficit but, ahead of the Merseysiders' visit to Old Trafford this weekend, Giggs knows the champions' work isn't done.
The 38-year-old told Inside United: "They're a club similar to us with massive history. We're the two most successful teams in the country, so we know we've got to perform and play well to get anything from any game against them.
"We know we're in for a tough game. It's the club we tried to catch for so long and now we've caught them the challenge is to stay ahead."