Giggs wants progress towards a first FA Cup triumph since 2004 to be made with clinical efficiency.
"Win the FA Cup was one of my first memories as a United player," he said.
"The competition was huge for me growing up and still is and we have so many players here who are desperate to win it.
"You want to be challenging on all fronts given the strength in depth we've got.
"But we are quite keen to avoid a replay because we've got a lot of games coming up.
"We realise tomorrow will be a difficult game - Fulham did well when they came to Old Trafford earlier in the season and we're going to have to be at it right from the start."