The Reds can secure a place in the last 16 of the Champions League this week, with a point at the Johan Cruijff ArenA enough to guarantee progress.
Nunez (tight hamstring) and Thiago (ear infection) were both missing at the City Ground, but the striker is now back in contention after joining the group for open training on Tuesday afternoon.
Thiago, however, was not spotted warming up in front of the cameras, suggesting he will miss the trip to Amsterdam.
Konate is likely to be considered an immediate option for Klopp, but the manager is looking to take a more patient approach with Keita, who has been sidelined since mid-August.
Calvin Ramsay, who is building up his minutes with the under-21s, was also with the squad.
Liverpool squad in training on Tuesday
Goalkeepers: Alisson, Kelleher
Defenders: Van Dijk, Gomez, Konate, Phillips, Alexander-Arnold, Robertson, Tsimikas, Ramsay, Chambers
Midfielders: Fabinho, Henderson, Milner, Keita, Jones, Oxlade-Chamberlain, Bajcetic
Forwards: Salah, Nunez, Firmino, Elliott, Carvalho, Frauendorf