Alexander-Arnold has been absent with a calf problem while Keita has had a hamstring issue but both are back in the mix.
"Trent and Naby will make their first steps in team training today," Klopp said.
"There's a chance that Naby and Trent could be in the squad I would say, whether they can start or play 90 minutes I do not know.
"There are some niggles from after the game against Ajax and we have to see how they respond as they didn't do a lot apart from treatment.
"Apart from Naby and Trent no-one is coming back."
Klopp also had some good news on Alex Oxlade-Chamberlain, who has not played since a knee injury in pre-season.
"He does the warming-up with the team now, some ball work, and we will develop that over the coming days and weeks and we will see what moment it makes sense to throw him in. He's not far away," he added.
However, the Reds will remain without goalkeeper Alisson, who missed the Champions League win over Ajax in midweek with a muscle problem.
Liverpool predicted line-up (4-2-3-1): Kelleher; N. Williams, Matip, Fabinho, Robertson; Henderson, Wijnaldum; Mane, Jota, Salah; Firmino
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