The injury prevented him from featuring in the Reds’ Champions League win against Red Bull Salzburg on Wednesday.
Klopp revealed the defender will also miss their game against Brendan Rodgers’ men along with Xherdan Shaqiri.
“Joel looks good but is not ready for tomorrow, and Shaq not,” Klopp said in a pre-match conference.
Matip has made an impressive start to the season, capping the defensive performances with one goal.
The defender will hope to return to the squad after the international break when they visit Old Trafford to take on Manchester United on October 20.