With this important victory, the Royal Club raised its tally to 51 points in second place, five points behind its rivals Barcelona, which faces Cadiz tomorrow, Sunday.
Uruguayan Federico Valverde scored the first goal in the 78th minute, before Marco Asensio added the second in the second minute of calculated time instead of lost.
Real Madrid, who is preparing to face Liverpool at Anfield on Tuesday in the Champions League, participated in the confrontation in the absence of its French star Karim Benzema due to injury, his compatriot Aurelien Chouamini and German Toni Kroos.
In other matches, Real Betis beat Valladolid 2-1 and Real Mallorca beat Villarreal 4-2, while Real Sociedad tied with Celta Vigo 1-1.
