Real Madrid face Deportivo La Coruna on Saturday, live on Sky Sports 3, looking for the win that could hand them the title.
Zinedine Zidane's side travel to the Estadio Riazor in second place in the table, just a point behind league leaders and champions Barcelona, who visit lowly Granada at the same time.
With the head-to-head results separating teams rather than goal difference in Spain, Barca's superior record over Real this season (5-2 on aggregate) means Los Blancos must win and hope the Catalans draw or lose to claim a 33rd league title.
However, Madrid arrive in Galicia in impressive form having won their last 11 top-flight games in a row, a brilliant run that has seen them claw back a 12-point deficit in March to close to within only a point of the European champions heading into the final round of La Liga fixtures.
The Frenchman has warned his players they will face a tough examination of their championship credentials at 13th-placed Depor this weekend.
"We know we will have a complicated game because we're playing away," Zidane said at his pre-match press conference on Friday.
"La Coruna are a good team, they're a team that can play football and they'll want to end the season the best way they can in front of their fans, but we're only focused on what we must do.
"We have faith in everything. We have faith in La Liga, of course, why not? We have won 11 matches, we're only one point behind [Barcelona] with one match ahead, and we're going to believe until the end, until the last minute, the last second of the match."
The visitors have a fully-fit squad after Wales forward Gareth Bale recovered from the knee injury that forced him to miss last weekend's 3-2 win over Valencia.
Zidane recognises, though, that despite Real's fine recent run, he will ultimately be judged on whether Madrid end the season by winning either La Liga or the Champions League final against Atletico Madrid on May 28.
"The important thing for me is the work I have done up till now has been good," he added.
"There were many doubts and I have still not won anything, but I am happy with what I am doing."