Utility man James Milner was injured in Saturday's 1-1 draw at Brighton, with Klopp blaming his side's schedule for the player's hamstring injury.
Klopp added that former Bayern Munich midfielder Thiago will be out until the new year with his knee injury.
"I don't have enough players to prioritise," Klopp said.
"It's not about the competition; it's about the players. On Saturday, the fittest players played.
"It's not a perfect situation but obviously not enough people want to offer us any kind of help [with the fixture scheduling], not only for us but for [all] football people. We just have to deal with it."