The duo missed Saturday’s 3-0 win at home to Huddersfield Town in the Premier League, with Lovren pulling out during the warmup with a thigh injury.
But speaking at Anfield on Tuesday afternoon, Klopp said that it was “not 100 percent sure” whether they will miss out.
“They are both much better, but if it will be OK for tomorrow night I don’t know in this moment,” he told reporters.
“Our [training] session is at 5pm [and] we will see who will be involved then.
“I hope both are involved in the session, that would give us an opportunity at least.
“If they don’t train it would not, especially in Dejan’s case, mean he immediately wouldn’t play; if he could train tomorrow morning it would be enough.”
“We had a few little things after the game,” he continued.
“Alberto had a kind of cramp, Joe felt it a little bit, so we were really careful in the last two days.
“Tonight and especially tomorrow morning will be the first time I really think about the lineup, so I know who is available.”
UPDATE: It seems Klopp’s words were wrong yet again on injuries – neither Coutinho or Lovren trained with the first-team on Tuesday evening, but Gomez and Moreno did.