Due to the narrow victory, leaders Barcelona will need to defeat city rivals Espanyol on Sunday in Cornella in order to claim the championship this weekend.
In a game with limited chances that did not set hearts racing, Marco Asensio broke the score in the 70th minute with a deflected long-range drive.
With their victory, Madrid moved up to second place, 11 points behind Barcelona and above Atletico Madrid.
Following the 1-1 draw last Tuesday in Madrid, Carlo Ancelotti heavily rotated his key players in preparation for the second leg matchup with Pep Guardiola’s City.
Ancelotti used only three players from the starting lineup of the first leg: Fede Valverde, Eduardo Camavinga, and goalkeeper Thibaut Courtois.
However, after a collision with Juan Iglesias, Camavinga hobbled off the field in the closing moments due to knee injury.

The French midfielder wouldn’t need much time to heal, according to Ancelotti.
Ancelotti said there were no concerns before to the City game in his statement to DAZN, saying, “It’s just a hit, it’s a little painful for him.”
He’s 20; he’ll bounce back swiftly.
The team bringing the Copa del Rey trophy they won last weekend in Seville to the Santiago Bernabeu caused the most excitement among Madrid supporters throughout the first half.
Beyond that, there was little movement at either end in the opening period, and Belgian attacker Eden Hazard, making his first league start since September, appeared unimpressive.
Since his unsuccessful transfer from Chelsea in 2019, the 32-year-old winger has had no signs of life and Madrid has since forgotten him.
At halftime, Ancelotti substituted midfielder Toni Kroos for Ferland Mendy due to his team’s lackluster performance, shifting Camavinga to left back.
Borja Mayoral of Getafe, who was in a prime position to score, misjudged his header and absolved his former team, and Asensio of Madrid sent a long-range attempt just wide.