However, with the game already in injury-time, Firmino showed tremendous composure in finishing off a late goal in the stadium that he frequents so regularly with Liverpool.
Neymar came on at Anfield as a second-half substitute and made a swift impression with a superbly taken goal in the 69th minute as the five-times world champions warmed-up for this month's tournament in Russian Federation.
After being introduced as a half-time substitute during Brazil's 2-0 friendly win over Croatia at Anfield, Neymar ran at right back Sime Vrsaljko before, cutting inside and belting the ball into the net via the crossbar.
Neymar's goal was his 54th for his country and he needs one to reach Romario as the third most prolific Brazil striker of all time behind Pele and Ronaldo.
Tite said there was no doubt that Neymar gives them something extra but said that needed to be kept in perspective.
The 26-year-old had surgery in Brazil amid fears he wouldn't be fit for the World Cup. Brazil "improved in the second half after Neymar made the difference". After Casemiro put the ball in the penalty box, Firmino controlled with his chest and sent the ball over Croatia goalkeeper Danijel Subasic to step up his challenge for a starting position in the team.
Coutinho switched to a more orthodox midfield role after the introduction of Neymar, on the left, at the break and Firmino played the last half hour in the middle after replacing Jesus.
Costa Rica eased to a 3-0 win over Northern Ireland with two headed goals from corners and a strike from Joel Campbell, lifting their hopes of getting out of a daunting Group E also containing Brazil, Switzerland and Serbia. "If I were the manager there, I would try to sign him too".
Brazil coach Tite hailed the match-winning return of Neymar on Sunday, but insisted his side are more than a one-man team as they go in search of a sixth World Cup title.