The 29-year-old Brazilian international has also been left out of the Reds’ 27-man squad in Singapore. A transfer has not yet been finalized.
On July 30 and August 2, Liverpool face Leicester City and Bayern Munich, respectively.
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Jordan Henderson, a midfielder for Jurgen Klopp’s squad, has joined Saudi Pro League club Al-Ettifaq.
Thiago is absent from the tour as he continues to rehabilitate from a hip injury that kept him out of action at the end of last season.
Fabinho has been with Liverpool since July 2018, when he was acquired for approximately £39 million from Ligue 1 club Monaco.
He has helped the Reds achieve the Premier League, Champions League, FA Cup, EFL Cup, and Fifa Club World Cup through 219 appearances and 11 goals.