United already have the Carling Cup and Club World Cup to their name this season, and are firmly in the hunt to retain the Premier League and UEFA Champions League and also add the FA Cup to the trophy cabinet.
Sir Alex Ferguson's side face Everton in next month's FA Cup semi final and have also progressed to the Champions League last eight with a 2-0 victory over Inter Milan on Wednesday night.
When asked if they could win the lot, Giggs responded in positive manner.
"We've certainly got the momentum, but we'll have to wait and see.
"We'll take each competition as it comes and obviously try and win every game, but you need a lot of luck, as we enjoyed against Inter Milan, and hopefully we'll get there,
"But with the run of results we've had, the belief is definitely there within the squad, with individuals in good form, and the team generally in good form.
"Everything is set up for an exciting end to the season, which will be a test of character, a test of that belief.
"But as I say, the momentum is with us at the moment, and hopefully we'll carry that on through to the end of the season," added Giggs.
Best EverUnited's impressive season has led to suggestions that this is the best side in the club's history, but the 35-year-old was reluctant to join that debate.
"We're on a great run. We did it last season, we've carried on this season, and now we just need to see it through to the end," he said.
"That has been our goal - not only to win the Champions League, but to defend it because no other team has done that.
"We've seen against Inter how difficult it's going to be. We need to play well every game, and concentration needs to be spot on."