After picking up just a point from each of their last two matches, Carlo Ancelotti's men simply have to defeat Luis Enrique's side to keep their championship hopes alive
Real Madrid must win at Celta on Sunday and hope Barcelona and Atletico Madrid slip up if they are to remain in the Liga title race.
Carlo Ancelotti's side dropped points against Valencia and Real Valladolid in disappointing draws last week, meaning Barca and Atletico both now have the league crown in their hands.
Those draws have left Los Blancos four points adrift of city rivals and Champions League final opponents Atleti, who host Malaga this weekend as the Blaugrana travel to Elche.
With Diego Simeone's men heading to Camp Nou on the final day, there remains an outside chance for Madrid to usurp both of their rivals and claim back the crown they last won in 2012.
Having won the Copa del Rey in April, and with a Lisbon showdown against Atletico to come later this month, Ancelotti refuses to give up on winning a treble.
The Italian said: "Winning La Liga will be very difficult, but it's still mathematically possible. We have to carry on and win our remaining two La Liga games. I'm not concerned about who the favourites are to win the title."
Crucially, the Madrid coach is confident of having Cristiano Ronaldo available for the trip to the Balaidos, after the Portugal forward limped off with just nine minutes on the clock in Wednesday's 1-1 draw against Valladolid.
"He wasn't in pain and wasn't complaining of a muscle sprain," Ancelotti explained.
If Ronaldo does miss out, Madrid may turn to a new goalscoring hero to find the net, after Sergio Ramos made it five in four matches with the opener in midweek.
The defender, perhaps more famed for clocking up cards than goals, marked his 400th appearance for the club with his 36th Liga goal for the Bernabeu outfit.
Celta, who have won three in a row, provided spirited opposition for more than an hour in January's reverse fixture until Karim Benzema broke their resistance before Ronaldo added two more in a 3-0 win for the hosts.
But it has been a hugely improved campaign for Celta, who triumphed in their final two games last term to finish just one point above the relegation zone.
Luis Enrique's side look set for a top-half finish and they have been in fine form in front of goal lately, scoring 12 times in their past four outings.