The 34-year-old will rejoin AC Milan on a six-month loan from LA Galaxy in January.
He said: “I would really like to face my former team in the next round.
“Since I left United in 2003, I have not returned to play at Old Trafford.
“Seven years have gone by and I would like for that to happen.
“Me against United, it would be beautiful, wouldn’t it?”
Becks added: “It would be very difficult but it will be very exciting.
“I like big challenges and I would love to play that type of game.
“I would love to win the Champions League because it is a special competition, where the strongest teams compete.”
