Second placed Barcelona are 15 points behind runaway league leaders Real Madrid but do have a game in hand.
They followed up a 3-2 defeat to Frankfurt in the Europa League last Thursday with a 1-0 reverse to lowly Cadiz in La Liga on Monday.
There are just six round of matches left in La Liga and Barcelona can move within 12 points of Real Madrid with victory over Real Sociedad on Thursday.
A title charge might be looking unlikely but Laporta maintains Barcelona will not give up while it is mathematically possible.
"This holy week has been like the passion of Jesus Christ," Laporta said at a news conference on Tuesday.
"Holy Thursday was a disappointment and we ended Easter Monday with another. We have to recover and strengthen. After yesterday's setback, I'm not throwing in the towel.
"In football, anything can happen. I would have liked to speak today after beating Cadiz and talk about things I wanted, but if I did it would seem that I am going to be a victim."
"We were improving and now we are at a standstill," Laporta continued.
"In this final stretch of the league [season] we were doing well. We got a good result at the [Santiago] Bernabeu [4-0 win over Madrid] and now we're struggling to win.
"It's obvious. In the first leg against Eintracht we didn't play a [good] game, and in the second leg we lost. Against Levante, we also struggled.
"Xavi is analysing what happened and looking for solutions. But we also have to take into account that injuries are not helping us. A player like Pedri, a starter and a standout player, has been injured."
"The situation is different from what we expected," he added.
"But while there is life, there is hope. Mathematically, it is possible. We have to fight in the seven [upcoming] finals to try to get the best possible final result.
"We mustn't throw in the towel, but it's going to be difficult to win the league. We have to be aware that we have seven finals and we have to win them to be in the Champions League."
