While it was a disappointing result in the end, Klopp felt his youthful line-up put in everything only to come up short in East London.
"I thought they could play like that so I'm not surprised," said the German. "But the only reason we were here is to win the game and get to the next round.
"We did a lot of things really good, we played the game in the right direction. But the first real chance went to West Ham.
"Our goal was great, a high-quality goal from Coutinho. Then still we did well, created chances and put up a big fight.
"Then they got a free-kick, without a foul, and we concede a goal. So now we go home."