Jose Mourinho's side feel they are ready to progress into the last eight of the competition at the expense of United, even though the game is finely balanced after the 1-1 draw at the Bernabeu.
Since the game with United, Real have been in blistering form winning their following four games, two victories coming against Barcelona.
"The victories over Barcelona have demonstrated that Real Madrid can cope with the big battles," he told Sky Sports. "If we can win at the Nou Camp we can win at Old Trafford.
"The match at Old Trafford is like a final for us. Our dream is to win the Champions League."
He added: "In the Bernabeu we were the superior side and deserved a better score - [David] De Gea was decisive in the match," he added. "[But] the match in the Bernabeu is history and now the round will be resolved in 90 minutes.
"The tie in Madrid has not changed much. We said that there will be goals between the two teams and normally the score at Old Trafford is not 0-0."