Los Blancos will meet their fierce local rivals at Estadio da Luz on Saturday, fresh from Diego Simeone's side winning their first La Liga title since 1991.
Despite the domestic triumph, many neutrals have Los Rojiblancos down as underdogs against Carlo Ancelotti's expensively assembled side.
Spain international defender Ramos has however tried to heap the pressure on Real's neighbours, by claiming that Atletico go into the game as the team who will be expected to win.
Ramos told Marca: "Atletico are the favourites [because they are] the present champions.
"Other years it's been won by others. This year it's their turn because they deserve to be there. We're playing for everything with just the one hand.
"It's a unique opportunity and it's true that nobody remembers who came second. Finals are there to be won."
Ancelotti's team will be looking to secure La Decima (their 10th European Cup) on Saturday, and the hunt for the record-breaking milestone has become something of an obsession to those connected with the club.
Speaking at an open media day in Madrid, midfielder Isco explained how it is his "dream" to play a part in the biggest club competition in world football.
"There's a great atmosphere within the team. We're preparing well and the sooner the final comes, the better," he said.
"Although I'm calm, as the final gets closer, the nervousness grows. Hopefully we'll be able to win La Decima. It's a dream to play in a Champions League final, for me or any other kid."
Cristiano Ronaldo and Gareth Bale have been declared fit by Ancelotti, and both are expected to start against Atleti in Portugal.