Mourinho is back at Madrid for a second spell after last managing the club from 2010-13.
He won La Liga and the Copa del Rey during that time, but not the Champions League. Since then Madrid has gone on to dominate European club soccer's biggest trophy, winning it six more times and extending its record to 15 titles.
And while another Champions League would mean Mourinho joins Pep Guardiola, Luis Enrique, Zinedine Zidane and Bob Paisley on three wins, he doesn't feel the need to make up for the fact that he was unable to lift the trophy when he was last at Madrid.
"I finished my work here in 2013. We won what we won, and we lost what we lost. We gave everything, but it's a closed chapter," Mourinho said.
"This has nothing to do with the past, absolutely nothing. These are two different moments in Real Madrid's history.
"In 2010, they hadn't reached the quarter-finals in years, nor had they played a semi-final in many years. Now, it's a Real Madrid that has won in the last 10 years. These are two different moments, but it doesn't change my way of thinking.
"If you ask me if I'm excited about winning the Champions League with Real Madrid, obviously yes, but completely separate from any context of not having achieved it previously."
Madrid hosts Mourinho's former club Inter at the Santiago Bernabeu on Tuesday night. Mourinho won the Champions League with Inter in 2010, having previously won with Porto in 2004.
There are five other games across Europe on Tuesday in the opening round. Manchester City travels to Porto, while Borussia Dortmund hosts Villarreal. Club Brugge opens at home against Aston Villa, AEK Athens hosts Austrian team LASK and Lille faces Real Betis.
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