Adam Lallana will be back after the Crystal Palace game
Liverpool have been dealt a number of injury blows in recent weeks as they battle to secure a top-four finish.
Club captain Jordan Henderson (foot) and Adam Lallana (hamstring) have both been out for a number of weeks.
And key man Sadio Mane was ruled out for the remainder of the season after undergoing surgery on a knee problem.
However, Klopp has provided some good news on Henderson and Lallana, claiming they could both be back in training next week.
"Adam will be back in training after the Crystal Palace game," Klopp said ahead of Sunday's clash with West Brom at the Hawthorns (1.30pm).
"For Jordan, maybe next week or the week after.
"It was clear from the beginning that it was not a fixed term.
"We are still waiting. He feels nothing but we have to make steps so that he can be part of team training.
“It could be next week in training or the week after. I’m pretty sure he could have a few games.”