The trio all started in Saturday’s 2-0 victory over the United States, with Firmino netting the opener and Fabinho impressing in an alternative role at right-back.
But with Brazil travelling to Maryland’s FedExField for their friendly clash with El Salvador in the early hours of Wednesday morning (BST), they won’t be involved from kickoff.
Tite is instead expected to name Fiorentina stopper Neto between the sticks, Porto’s Eder Militao at right-back and new Everton forward Richarlison up front.
Liverpool are back in action against Spurs this weekend, and the manager has previously expressed his concern over the Brazilian trio returning to training on Thursday.
Klopp has few other players in international action between now and Saturday, and can now continue planning his side for the Premier League.
Youngsters Nat Phillips, Pedro Chirivella, Matty Virtue and Bobby Adekanye were also included, while Tranmere Rovers loanee Shamal George made the short trip back to West Derby to take part.
Kelleher could be named in the matchday squad for the first time on Saturday, with Simon Mignolet nursing a finger injury.
The Irishman recently signed a new long-term contract with the Reds, and could be considered as backup to Alisson if Mignolet fails to recover.