Giggs believes that United have done well to maximise their chances of winning silverware this season but insists that they are capable of playing far better before the campaign ends.
He told the club's official website: "Challenging on all fronts is what you want, especially given the strength and depth we've got in the squad.
"We want to be fighting on all fronts and involved in all the competitions and doing the best we can.
"I think there is more to come from us. There is always room for improvement. Obviously we're happy with where we are in the league and in the FA Cup and Champions League, you've got to be pleased with that. But there is always room to improve both individually and as a team."
United will go seven points clear of nearest title rivals Manchester City with a victory against Southampton at Old Trafford tonight.