The Hungarian, who came into the club in the summer from RB Leipzig, is struggling with a hamstring injury.
Reports in his native land suggest the midfielder is facing around four weeks on the sidelines.
Szoboszlai is set to miss around seven or eight matches for the Reds, including the cup final against Chelsea on February 25th.
"Dom felt in the same area, or pretty much a similar area, to where he was injured before," manager Jurgen Klopp stated over the weekend.
"Not in the game (against Chelsea), he was fine, and then after the game (he felt it) slightly so we had a look at it and there was now no chance for him to be involved in this game (against Arsenal).
"We cannot take any risk. We have to wait for further assessment but it was clear that he cannot be involved today. That's it, pretty much."
