The Portuguese has taken charge of 133 games in the competition, 61 short of Ferguson's all-time high figure.
"I know that I am in the top five or six but I'm quite far, especially from the top one but I will fight hard to go for that record," he told MUTV.
"But the Champions League is where we want to be and maybe I'm too ambitious, I don't know, but I want to be the manager with more matches (in the Champions League).
"It's good for the players, it's good for me, it's good for the club.
"The Champions League night is a unique experience for everyone. I have some players without that great experience, I think it will be fabulous for them and the fans to be back in the Champions League and to have the initial three matches to be played at Old Trafford, I think is fantastic."