The Spaniard was forced off injured during Saturday’s 3-0 Premier League victory over Crystal Palace and is also set to miss next weekend’s trip to Brentford.
“I can’t say now how long it will take, but not Tuesday and not the weekend,” said Reds assistant Pep Lijnders.
“Let’s get the scan results back and we have a proper diagnosis.
“A shame as well because he was taking the game [against Palace] by the hand, he was a proper playmaker in my opinion. A shame that we miss him.”
Jurgen Klopp is expected to hand several squad players more minutes at Carrow Road, having also made several changes to his side for last week’s Champions League win over AC Milan.
Divock Origi and Joe Gomez were among the starters at Anfield that night and can expect to feature again, with Takumi Minamino and Alex Oxlade-Chamberlain among others pushing for minutes.
Liverpool likely XI: Kelleher, Gomez, Konate, Phillips, Milner, Jones, Keita, Oxlade-Chamberlain, Minamino, Origi.