Davies was part of the matchday squad for the midweek game against Brighton & Hove Albion after joining the Reds from Preston North End on transfer deadline day.
Kabak, who completed a February 1 loan switch to Anfield from Schalke 04, is now eligible for selection.
Asked whether he'd be prepared to play Kabak against Manchester City on Sunday, Klopp told a press conference: "I don't know.
"With our situation, we will see who can play again, who cannot and who should not or who should play again – all these kind of things. Then we will see.
"In an ideal world, you have a few weeks and work together on defensive things, especially organisation and all these kind of things. Ben and Ozan had yesterday an analysis meeting – and they trained – where they got shown all the stuff we do usually, like a centre-half movie.
"So today, proper session. Tomorrow, proper session and we will see. I don't know yet."