The 29-year-old has formed an integral part of Klopp's system since the former Borussia Dortmund manager took over at Anfield, but he has often been criticised for a perceived lack of goals.
Firmino has scored six goals and set up five more in the Premier League this term as Mane and Mohamed Salah grab the headlines, but the former thinks that his teammate does not get the credit he deserves.
In quotes attributed to The Mirror, Mane said: "He deserves more credit than me and Mo, for sure. But it is part of football, (people) always seeing the goals scored.
"But without Bobby, I don't see me and Mo score as many goals as we have, to be honest. He makes everything easier for us."
Amid his side's poor run of form, Firmino has only managed to score one goal in his last 11 Premier League outings, although he did bag the assist for Salah's opener in Liverpool's defeat to Leicester City earlier this month.