But first United have to see off the challenge of Fulham who fancy a good run in the cup themselves.
Sir Alex Ferguson has also spoken recently about how he would like to see his side lift the trophy once again at Wembley, something that the Reds have not done for eight years.
Cleverley said to United's official website: "It's definitely a trophy I want to win.
"It means a lot. In fact, we've got a few players in the squad who haven't won anything in this country as yet, including myself, so anything we're involved in I want to win."