Oxlade-Chamberlain is one of seven first-team players currently sidelined through injury, with Alisson, Caoimhin Kelleher, Kostas Tsimikas, Calvin Ramsay, Diogo Jota and Kaide Gordon also out.
Alisson is expected to return for the Premier League opener at Fulham on August 6, but less is known of the others.
However, Klopp did give an insight into Kelleher’s groin strain, with there a sense of frustration at the medical staff within the Republic of Ireland setup as he faces up to three more weeks on the treatment table.
“Caoimh felt something after the international game and everybody told him, the medical department there, it’s fine, it would be good,” he explained.
“After holiday he came back, first training, felt it again. We checked it and it was not good.
“I think Caoimh will be another two, three weeks and then should be fine.”