The Spain international has set his sights on Champions League glory this season but has warned his team-mates that they cannot let it become an obsession
The Santiago Bernabeu side last won the European Cup in 2001-02 and have since been unable to make it past the semi-finals of the competition, being beaten by Borussia Dortmund in last season's final four.
Nevertheless, Ramos has stressed that they are determined to fight for the trophy right until the very end this season, although he has warned his team-mates not to let it become an obsession.
"The Champions League is clearly a competition that's very dear to the club, and it's been a long time now since we held that title," Ramos told the official Fifa website.
"I'm not sure i'’s an obsession but the desire to win it is greater than for any other competition. I think it would be wrong though to let it become an obsession.
"We need to just take it step by step, like we've done in recent years – reaching the semi-final and almost making the final. If we can go all the way, then even better.
"It’s tricky, but Real Madrid are obliged to fight till the death for that trophy."
Madrid face Schalke in the round of 16. The first leg takes place at the Veltins Arena on February 26.