Just one point separates the top two teams entering week 38, but Real Madrid's result will be meaningless if Barcelona manage to beat Granada in their final league match.
Eight wins, 18 draws and 11 defeats is how Deportivo have performed in La Liga this season, with that record giving them 42 points and 13th position in the table entering week 38.
They are six points clear of the relegation zone and have actually lost the joint-fewest league games this season outside of the top four, but just eight victories in 37 matches is an indication of their troubles throughout the campaign.
Incredibly, Depor actually have the worst home record in the entire league this season - picking up just 20 points from their 18 on home soil. They have also shipped 32 goals at the Riazor, although eight of those came against Barcelona last month.
Between April 2 and May 1, Deportivo failed to record a single win, but a 2-0 success over Villarreal last time out has at least taken the pressure off entering this weekend's match.
It is worth remembering that Deportivo won La Liga in the 1999-2000 season and then finished third or higher in their next four campaigns. They have gradually slipped away, however, and have spent two seasons in the Segunda since 2011.
Last season, the Blue and Whites finished 16th and while it does appear that they will improve on that position this time around, it has still been a largely frustrating campaign. Victory over Real Madrid, however, would be the perfect way to end the 2015-16 season.
Recent form: LDLDLW
In the middle of March, Real Madrid were down in third position and 15 points behind Barcelona, who showed no signs of slowing down in the final months of the season.
A wobble from Barcelona, however, has allowed Real Madrid to take the title race to the final weekend and any slip from the Catalan giants would open the door for Zinedine Zidane's team.
It would be fair to say that the experiment of Rafael Benitez did not work, but Zidane has made a serious impression over the last couple of months. Indeed, Los Blancos have now won their last 11 league games after a 3-2 success over Valencia last weekend kept their title hopes alive.
Not since the end of February have Real Madrid been beaten in the league, and that was a 1-0 reverse at home to Atletico Madrid. That defeat has inspired the capital club, however, and they will also take on Atletico in the Champions League final later this month.
Real Madrid are also currently on their best away league run since March 2014, winning seven of their last 10 on their travels and remaining unbeaten. What's more, this is already Real Madrid's third best goal-scoring season in La Liga - hitting 108 goals in their 37 matches to date.
Despite being 32-time winners of La Liga, Real Madrid have not collected the top prize since 2012, and it does appear that they will miss out once again, unless Granada can pull off a shock result.
Recent form: WWWWWW
Recent form (all competitions): WWDWWW
Depor boss Victor Sanchez has no fresh injury concerns from the win over Villarreal last weekend and could be tempted to select the same XI.
Lucas Perez will be looking to add to his 17 league goals for the season.
Deportivo possible starting lineup:
Manu; Laure, Arribas, Sidnei, Juanfran; Cartabia, Fajr, Bergantinos, Mosquera, Alberto; Perez
Real Madrid possible starting lineup:
Navas; Carvajal, Pepe, Ramos, Marcelo; Casemiro, Modric, Kroos; Ronaldo, Benzema, Bale
Head To Head
After winning six straight home league games against Real Madrid, Deportivo have now gone four without a victory against Los Blancos on home soil - losing three times in the process.
Deportivo have also only scored three times in their last five league games with Real Madrid.
We say: Deportivo 0-2 Real Madrid
Real Madrid must win to put the pressure on Barcelona and it would be a major surprise if they passed up the chance to potentially win the title. Deportivo impressed against Villarreal last weekend, but we expect Los Blancos to run out comfortable winners at the Riazor once again.