Szoboszlai exited Liverpool's victory over Brighton in the 83rd minute, having played the majority of the game at right-back after Joe Gomez had to be brought off himself in the first half.
Speaking after the game last weekend, manager Arne Slot revealed: "Dom, it was his ankle. It didn't look great when I just saw him. But he has unbelievable mentality so let's hope for the best."
On Gomez, the Dutchman added: "If I have a player who goes off with a muscle injury like Joe, that's normally not a positive thing. I would not expect him to be in the squad next week [at Tottenham Hotspur]. But sometimes you get a positive surprise.
"People now maybe understand a bit better why I was always so cautious not to play him so many games. I assume many people thought, 'If you have a defender, if you have a right full-back, why don't you play him?'"