The Brazilian forward, 27, missed the Premier League win over Huddersfield on Friday with a muscle tear.
"If Bobby is 100% equipped to play, then he will perhaps play," stated Klopp.
"He's here. He trained today. Tomorrow we have every other session and perhaps I have to make a decision."
Midfielder Fabinho is accessible again after sustaining a head damage at Cardiff on 21 April.
Both players had been blanketed in the 23-man squad for the Nou Camp showdown (20:00 BST).
Klopp brought that Firmino's restoration "looks desirable so far" and he has until lunchtime on Wednesday to show his fitness.
"We all knew from the opening it would be a race," stated the Anfield boss, whose team are vying with Manchester City for the Premier League title.
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"We do not have to make a decision nowadays because there's no game today, we can wait.
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