A poll in Catalan newspaper Sport revealed that 90% of the Barcelona supporters that voted believe that their side will not win the La Liga title this season.
The poll took place after Saturday's 1-0 defeat to Real Valladolid, which saw Barca fall four points off the top of the table following Real Madrid's win over Levante one day later.
Barcelona host fellow title rivals Atletico Madrid on the final weekend of the season, but could be seven points behind Real Madrid later this month should they lose the Clasico at the Bernabeu.
Barcelona won the league title by 15 points last season.
