The German is preparing his side for a must-win game against their top-four rivals, having won just once in 10 games so far in 2017.
Mauricio Pochettino’s Spurs are in excellent form as they head to Anfield this weekend, and present a major challenge for the Reds in their bid for Champions League qualification.
Both Lovren (knee) and Klavan (illness) missed last weekend’s 2-0 loss away to Hull, while Lallana has since picked up an injury, with the trio still doubts for Klopp’s starting lineup.
“It’s not 100 percent sure if Dejan Lovren can train today. But we still have hope,” he told reporters on Friday.
“Adam Lallana was out for two days with a little problem with the Achilles, we have to see. He’s willing, and we should try see today.
“Ragnar Klavan was in bed for six days with a serious bacterial infection, lost a bit of weight.
“He’s been running, and he’s involved in training today, but we have to see what we can do with him.”
This comes after a series of errors from Simon Mignolet, most notably gifting Alfred N’Diaye the opener in the loss to Hull.
But Klopp remained tightlipped when asked about the possibility of restoring Karius to his starting lineup, insisting that he was yet to decide who would don the gloves at Anfield.
“It’s a rumour [that Karius starts]? I’ve decided nothing,” he continued.
“We’ve not had 100 fantastic games in a row, that involved different players.
“There’s nothing to say about it actually. Whoever gave you this information, please delete him from your list.”
Meanwhile, the German said that there was “nothing else” to discuss in terms of injuries.