The two sides meet in an FA Cup fourth-round replay at Upton Park after a 0-0 draw at Anfield on January 30.
Payet has emerged as one of the signings of the season this term, scoring six goals and providing four assists in 18 Premier League appearances, and Klopp is well aware of the threat the Frenchman poses, though he insists he will not dispatch a defender to track his every move.
"We [the coaching staff] played against Payet when he was at Marseille so I knew him before," he said at his pre-match media conference.
"We have no player we can say, 'come on, follow him, if necessary to the restroom'.
"How I understand football in these times, we should not try to find a solution only for Payet, the solution is to avoid the passes to Payet.
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"If he doesn't have the ball too often then it is not possible to have the biggest influence on the game - that is how football should work.
"We play our football. He can decide games, for sure, but only if we give him the opportunity."
Klopp has passed himself fit to be in the dugout for the clash after missing the 2-2 Premier League draw with Sunderland on Saturday having undergone surgery on his appendix.
"I feel good – a lot of people have had this before and I am back in the race," he said of his health.
"Our doc said I should go to hospital, I was not too sure, but the surgeon was great - and he was a season ticket holder, so missed the game too.
"I am fit and healthy otherwise I wouldn't be here. I had one not too good night but I feel good. I am experienced enough to know that I am not going to jump or something when I have a few holes in my body! I can't win the game with my emotions.
"I saw the Sunderland game and a lot of things I think people could see were really good but in the end it was not enough.
"I can't say anything about the first [league] game against West Ham when I was not in charge but the second game we were really bad and that is the reason why they could win. We need to be better and improve."