The Danish international defender was forced to miss Monday night’s 2-2 draw at Swansea after an accident in the gym on Sunday evening.
“We’ll see how he is in the next 24 hours,” Brendan Rodgers told press at his pre-match press conference on Thursday afternoon.
“It’s too early to say if he’ll be ready for the weekend or not. It was just unfortunate it happened the day before the game. We’re hopeful he’ll be fine by the weekend.”
In Agger’s place, Rodgers opted to play new signing Mamadou Sakho alongside Martin Skrtel in the high-tempo game in South Wales.
This weekend the Reds go looking to stay top of the Premier League with the visit of Mauricio Pochettino’s Saints.
Rodgers also spoke to the media about Philippe Coutinho‘s shoulder injury, which will see the Brazilian sidelined for around six weeks.
Coutinho was forced off during the second half of the Swansea game after a challenge by Swans defender Ashley Williams.
Rodgers added, “He’s only just having it today so the timescale from the medics is obviously up to six weeks.
“We wouldn’t anticipate any sooner than that. It’s unfortunate for him because he’s been in great form since he came here in January.
“Hopefully we’ll get him back sooner rather than later and then he can come into the group again.
“It was one where it was more the fall than the challenge. The challenge was probably a bit clumsy but it was actually more the fall that did the damage.
Liverpool vs Southampton gets underway at 3pm on Saturday, 19th September.