Fabinho has not travelled with Liverpool on their trip to Singapore with his future still to be resolved.
The midfielder was left behind when the club went to Germany for a pre-season training camp after Al-Ittihad made a £40m bid for him on 14 July.
A move has yet to be completed, but the 29-year-old Brazil international has been left out of the Reds' 27-man squad in Singapore too.
Liverpool play Leicester City on 30 July and Bayern Munich on 2 August.
Jurgen Klopp's side are also without midfielder Jordan Henderson, who has joined Saudi Pro League side Al-Ettifaq.