The Lisbon-based outfit head to Anfield behind 3-1 on aggregate without their experienced winger.
Whilst acknowledging Silva's quality, Verissimo told a pre-match press conference that his team could deal with his absence.
He said: "Regarding Rafa, we all know the importance he has in our team, he has different characteristics and we have to make up for his absence, but we have solutions that will give a positive response.
"Sorry for his absence, but we have a lot of confidence in the rest of the squad. We go with the natural ambition of someone who believes a lot in what they are doing. We know that we are down by two goals but we believe that things can change, especially if we score a goal first.
"We're going with that ambition, despite having lost the first leg. After the analysis we did, it's to realize that despite the difficulty we know we're going to encounter, we have to believe. There will certainly be spaces and we have to be effective in achieving and consistent in the defensive process."
Verissimo says he won't think about Sunday's clash with Sporting Lisbon when selecting his team.
"No, we're not going to manage," Verissimo told a pre-match press conference."Tomorrow's game is tomorrow's game and we know how important it is. We're in a tie where we haven't been in several years.
"We believe it's possible and we're going to enter with the strongest team, taking into account that those who do not enter will also be able to give a positive answer.
"We have confidence and ambition that things will go well."
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