Atletico head into their final home game of the season against Osasuna on Sunday with a two-point lead over nearest challengers Real Madrid and know any slip-up could cost them their first Spanish crown since 2014.
Suarez is Atletico's top scorer this season but has failed to find the net in his last five league outings, his longest goalless stretch this season.
Real coach Zinedine Zidane said Atletico had bossed the first half while his side had edged the second and his team still firmly believed they were in the race.
He had Marcos Llorente's pressing to thank for his equaliser but the second was almost entirely down to him, the 33-year-old chasing down a long punt downfield before tumbling over in the box.
The 33-year-old was captured shedding tears as he briefly put his head down while he drove out of and away from the Ciutat Esportiva Joan Gamper facilities.