Nunez missed Saturday’s 0-0 draw at Crystal Palace with a shoulder injury.
Speaking during Tuesday’s press conference, Klopp said: “Darwin trained yesterday with us. Let’s see if it’s good enough for being part of the squad.”
Nunez’s availability is a key issue on Wednesday as Liverpool seek to avenge their 3-0 defeat against Wolves in the reverse fixture less than four weeks ago.
The statistics show Liverpool are much more dangerous when Nunez is in the line-up.
The Reds have more shots per match when he starts, and have a win percentage of 54 per cent in the Premier League, compared with just 30 per cent when he doesn't start.
Liverpool with/without Nunez starting
|With||Premier League 22/23||Without|
A host of Fantasy Premier League managers will also be nervously waiting to see if Nunez is fit to start on Wednesday.
The Uruguayan was the third most-bought player in Fantasy ahead of his two matches in Double Gameweek 25, with over 927,000 FPL bosses bringing him in and so far being disappointed as he got zero points against Palace.
Nunez's return could also be good news for the 1,271,000 FPL managers who made Mohamed Salah the most transferred-in player ahead of DGW25 and the 1,536,000 who captained the Egyptian. The pair have combined for two of Liverpool's last six goals in all competitions.