Brendan Rodgers has revealed Daniel Agger and Fabio Borini are edging closer to the levels of fitness that could see them feature in Saturday's Barclays Premier League clash against Norwich.
However, the manager also explained to journalists gathered at Melwood how the problem Martin Kelly sustained against Manchester United on Sunday is likely to sideline the 22-year-old until the latter stages of the league campaign.
Asked whether Agger or Borini could play some part at the weekend, Rodgers replied: "Daniel probably has a good chance and Fabio is 50/50.
"They haven't trained this week but we'll see how they go over the next 24 hours. They are responding well."
Kelly suffered an ACL rupture of his right knee during Sunday's Anfield encounter and the full-back will undergo surgery to repair the damage tonight.
"We wish him all the best," Rodgers said. "He's been fantastic for me since I've come in, so it's really unfortunate that he's got the injury.
"If he does (play again this season), it will certainly be towards the end (of the season).
"The good thing is that he is a real worker. We've got the operation done as quickly as we possibly could. He'll come back and recuperate and then we'll see how he goes.
"They talk six to nine months for these types of injuries, so even till then it will pretty much rule him out.
"But we will see. There's no pressure on him, he just needs to get fit and make sure the surgery goes well and we'll assess it into the New Year."
Meanwhile the manager expressed his delight at the response of Lucas Leiva, who limped from the field after just minutes of play against Manchester City in the Reds' first home game of the season as a result of an injury to his thigh.
"He has responded very well - he's doing great," said Rodgers. "He'll still have a wee bit of time away but he's working hard and working very well.
"He was in the pool today and he's got good movement; he's started to run. So hopefully he'll be back sooner rather than later."