Jota has been sidelined after sustaining a knee injury during the Champions League fixture with FC Midtjylland in Denmark on December 9.
Meanwhile, Keita has not featured since starting the 7-0 victory at Crystal Palace on December 19.
“It was a hamstring, a slightly bigger one,” Klopp said of Keita. “He is back on the pitch but not with the team yet.
“He is in individual training sessions – hard training sessions. It is the final stages of his rehab, but [he is] still not there.”
On Jota, the manager added: “Diogo is close, but not as close as Naby, for example.
“He is on the pitch as well, individual sessions, not the same intensity as you can imagine after a longer time. In rehab, you have to train really intensely before you can go back to team training.
“Diogo [will be] two or three weeks, maybe. Probably the medical department hits me now, but I think that’s kind of possible, back in full training and then we will see how long it takes.”