"Yesterday he was part of the complete session and looked really good, but always after injuries you have to wait to see how the player reacts to this intensity". "He is in a good moment and his development so far has been really good, he has adapted well", Klopp said.
"Of course we saw the match and we saw the pre-season games of Crystal Palace, not just our match against them (in Asia) but all we could get", said Klopp.
"He is on a really good way and everything is fine from my side".
"The rule is if you train really good, if you work really hard, if you improve, if you develop, everything will be good at the end".
"I'm really looking forward to Anfield", Klopp added.
Andy Robertson joined Liverpool from Hull City for £10m last month but so far has missed the Reds' first two competitive games despite seemingly being fit enough to feature.
"Phil is not available".
Meanwhile, Crystal Palace started with a humiliating 3-0 defeat against newly promoted Huddersfield and they will be eager to return to winning ways.
But want-away midfielder Coutinho is still out with a back injury - having also not featured since the clash with Bayern - having yet to return to training from the issue.
Eagles chief Frank de Boer will be without star man Wilfried Zaha after the winger injured his knee in the opening day defeat.
Defender Joel Ward insists there is no lack of confidence among the Palace squad as they attempt to stage a repeat of April's victory at Liverpool that helped keep them up. I've told them of course, but as player - which I was too a few years ago - it is not easy, but it is much too early to really think about this, it is a long season ahead.