This could include some players who have been recently sidelined, with Klopp detailing the fitness of Matip, Milner, Henderson and Philippe Coutinho at Melwood on Monday afternoon.
Milner is the most likely to start against the Saints, while Coutinho could make the substitutes’ bench, but Matip and Henderson are due for further recovery time.
“New injuries? No. And all the rest are on the way back, all close,” he told reporters.
“Phil trained again this morning; Joel, first steps back to team training; Milly, no issues anymore.
“Hendo, on a very good way. He’s really mentally strong. It’s still painful, but he’s doing well.
“We’ll see what we can do with him. Hopefully on Thursday he’ll be in team training.”
Marko Grujic was also pictured in training on Monday morning, after a spell out with a tendon issue.
The fitness of Matip, Henderson and Coutinho is a major boost not for Wednesday’s semi-final, but for the trip to Old Trafford to take on Man United on January 15.
All three can expect to start against United in the Premier League, as Liverpool continue their bid for the title.
January is a pivotal month for Klopp’s side, and having Matip, Milner, Henderson and Coutinho all back will be hugely influential.
First up, however, and Klopp’s sole focus at this stage, is the first leg at St. Mary’s, with Liverpool needing a strong performance to put themselves in a good position to push for the final.