Neither man has featured for the past couple of weeks, with Szoboszlai sustaining a hamstring problem during the Reds' 4-2 Premier League win over Newcastle United on New Year's Day.
Meanwhile, Alexander-Arnold played a starring role in Liverpool's 2-0 win over Arsenal in the third round of the FA Cup, but it was revealed that the right-back had hyperextended his knee in the Emirates clash and would be sidelined for a few weeks.
Both players sat out Wednesday's 1-1 EFL Cup semi-final second-leg draw with Fulham at Craven Cottage, where Klopp's side set up a tantalising final with Chelsea courtesy of a 3-2 aggregate victory, but Andrew Robertson was back on the bench in West London.
The left-back's appearance in the matchday squad was his first since he dislocated his shoulder while playing for Scotland in October, and Klopp provided updates on the trio in Thursday's pre-game press conference.
While the Liverpool boss is confident that Robertson and Szoboszlai are ready for minutes, he has conceded that he will have to make a late call on Alexander-Arnold, but he has not ruled his vice-captain out of the Norwich match entirely.
«There's a chance for all of them but we will really have to see. It's touch and go,» Klopp said. «Robbo is physically ready and I think it was good to have him in the matchday squad, and he's completely in the normal team training schedule.
»Like Dom from tomorrow on. He had yesterday a session, today I think he has a day off as well and then from tomorrow on he is in completely
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