Vidic hasn't tasted success in the competition since moving to United from Spartak Moscow for £7m in January 2006, even though he came very close in his first full season at Old Trafford, when United reached the final before losing to Chelsea.
The Blues stand in their way again on Easter Monday as the two sides square up to each other in a quarter-final replay for the right to face Manchester City in the last four at the "new" Wembley.
The revamped venue hasn't been a happy hunting ground for Sir Alex Ferguson's men with semi-final losses to Everton and City, and for that reason he does wish it wasn't their city rivals awaiting them if they get passed Chelsea.
He said: "I would prefer to have a semi-final against Blackpool.
"I want to win the trophy. That is more important than who we play against.
"Obviously City are in the semi-final. That would mean one more step towards a trophy. But first it is Chelsea.
"My aim before every season is to win a trophy.
"You want to be there for the big games and once the season is finished, and you are going home or on holiday, you want to see what you have won.
"That is the thing that has always pushed me."