Speaking in his pre-Saints press conference, as cited by Anfield Watch's Twitter account, Klopp said that the Brazilian is doing well but he won't be available for tomorrow's game.
"He is progressing very well but he won't be involved tomorrow. But it's very good."
Anfield Watch Verdict
A lot of people aren't expecting Fabinho to make a full return before the Champions League final. Thankfully, Klopp still seems confident that the Brazilian will be fit enough to face his former club - Real Madrid.
📺 Jurgen Klopp on squad depth:
"From next season onwards, we can change 5 times so more players can come on and make a difference." 🔴 pic.twitter.com/OuuOOPruz4
Salah also said that he would be fit for the Champions League final against Real Madrid after the FA Cup final win on Saturday.
With all these injuries in mind, it looks like Klopp is going to play a heavily rotated team against Southampton tomorrow.
Liverpool's schedule has been absolutely relentless since the turn of the year and it's not surprising that players are now picking up injuries.
By the time the season ends, Klopp's side would've played 63 games, which is the absolute maximum amount of fixtures we could've played this campaign.
With how these games are scheduled too, the Reds have played three games a week for around five months.
More needs to be done surrounding player welfare, but, Klopp and his staff have done amazing to manage the situation as best as they could this season.