Atletico Madrid's defeat to Real Sociedad on Thursday means that Ernesto Valverde's side need just one victory to claim the title, with the game against lowly Deportivo in 10 days' time their first opportunity to do so.
It will be completely in Barca's hands at the Riazor, with the Catlans not even needing Atletico to lose to secure the trophy.
Barca do not play this weekend due to the Copa del Rey final, though Atletico face Real Betis at the Wanda Metropolitano with the chance to move to 74 points, still some nine behind Barca's 83.
If the 'Colchoneros' lose then Barca would be made to wait to claim the trophy, with Real Madrid still holding the slimmest of chances of beating their rivals to the title according to the maths.
When gameweek 35 comes around, Atletico and Barca could be sitting on 77 points (if Simeone's side beat Alaves) and 86 points (If Barca beat Deportivo) respectively, figures that would hand Barca the title.
However, despite the potential for 'El Clásico' to be Barca's first game as champions, Zinedine Zidane has already stated that there will be no guard of honour.