Offensive star Karim Benzema, who has scored 26 league goals this season, was missing from the start in Saturday's match against Espanyol.
But Real Madrid had no problem dismissing the opposition anyway.
Rodrygo accounted for two goals and Marco Asensio one before Benzema was substituted and put 4-0.
After 34 matches, Real Madrid stands at 81 points, which means that no team has a theoretical chance to challenge for the league title anymore.
The usual tug-of-war between "Los Blancos" and arch-rival FC Barcelona for the title did not take place as the latter club did not perform at the top and parked in third place in the league one point behind Sevilla (with one match less played).
The league title is Real Madrid's 35th overall.
On Wednesday, the return against Manchester City in the Champions League semi-final awaits after the goal celebration in England, where City won 4-3.