The defender was forced from the field in the 48th minute at Anfield on Sunday after picking up an issue following an attempted challenge.
Klopp said during his post-match press conference: "How it is on these days, something like that happens as well.
"Conor overstretched his foot slightly. The first moment and what Conor felt didn't look great, [but] now I heard a little bit that it's settled quite quickly.
"I don't know. Is the ligament damaged or not? I don't know, so we will get this information tomorrow or Tuesday, but it was very painful for him so that's not cool."
