Henderson picked up the injury in the closing stages of Liverpool's 1-0 Champions League defeat at Atletico Madrid on Tuesday night, but Klopp said the injury is not as bad as initially feared considering the other hamstring injuries which have hit their Premier League rivals.
Klopp confirmed that Henderson "felt his hamstring" on Tuesday night but did not know the severity of the injury. "West Ham will have taken positives from that game and we have to be ready for that".
Speaking ahead of the club's return to Premier League action against West Ham on Monday night, Klopp admits there has been a change in atmosphere amongst the squad following a hard evening in Madrid.
"It felt after the game like a defeat, it felt the next morning like a defeat, it was nothing".
As for Henderson's absence opening up opportunities for other midfielders such as Oxlade-Chamberlain, Naby Keita and James Milner, Klopp said: "Hopefully nothing else happens, to be honest".
"I was not nervous at all and was OK to deal with it, but it is good that's how the player sees it". It's part of the game, I don't like it too much.
"But it's important that if there is any help in the result, it's that it felt like a defeat". Nobody thought, "But in the league we are like this".
"But it's not that we say that Anfield alone will sort it at the end". Atletico showed a lot of passion and desire, they fought for the result and they will fight here as well, 100 per cent.
"So yes, we want to put it right even though it's a different competition". The situation they created before half-time with eight players around the ref, pushing him in that direction - I did not believe we could finish the game with 11 players if I kept him on the pitch.
'From sunshine to hardest rain, and that is how it should be, ' Klopp said of the mood in the Liverpool camp.
"Maybe his performances at the start of the season went a little bit under the radar, but as the season has progressed he's not really had a bad game".