The trio will not be available for Liverpool's lunchtime Premier League tie at AFC Bournemouth on Saturday, but they are edging closer to returns to action.
Elsewhere, the Reds have no fresh injury concerns heading into the trip to Vitality Stadium.
Klopp told his pre-match press conference: "All three not available [this weekend].
"Different stages, I would say. Joey might be able to train at the beginning of the week; Luis I hope during next week. After the international break, then obviously for both [it's] possible.
"Thiago we will see. None of them trained yet with the team and then we will see how that develops in the next couple of weeks and we will know more.
"Apart from that, from the last game nothing [new] that I heard about."