Alaves went close to breaking the deadlock on 31 minutes when Alfonso Pedrazaplayed a neat one-two with Manu Garcia before firing just over the bar from 18-yards out.
Gareth Bale and Karim Benzema also found themselves on the scoresheet, to further enhance the importance of Real Madrid's current winning run, highlighting that they may well be back to their best.
The Portuguese had the chance to take home another match ball in the final minute of normal time after Bale was brought down inside the box by Victor Laguardia, but he selflessly handed the responsibility over to Benzema, who made no mistake from 12 yards.
"Cristiano showed true team spirit with Karim, who really deserved a goal".
Though Bale has scored nine goals this season, he has struggled to establish himself as a member of Zinedine Zidane's first-team, unable to find the back of the net in his last six games. It is something positive for me.
On Real's recent return to form with four straight wins, Zidane added: "It is clear that we have character, personality and to score 26 goals in six games is very good. I am happy for all of it - another four goals, a clean sheet, all that we did", Zidane said after the game.
"It's been a good day for him to play on the left".
"Bale has done very well, he has played 90 minutes in a position that he hasn't been in lately". Manager Fernandez is likely to continue with the 4-4-2 setup at the Bernabeu, but there will be changes expected from the side that beat Deportivo La Coruna 1-0 in their previous game.
"After our game against PSG, we have been doing much better", he told reporters. "And that comes with recovering confidence, which is fundamental for a player".
Real Madrid travel to face Espanyol in La Liga on Tuesday night, live on Sky Sports Football, with Alaves turning their attentions to hosting Levante on Thursday evening.