Matip missed the 3-2 FA Cup loss at Manchester United last Saturday but returned for Thursday's Premier League win at Tottenham, partnering Jordan Henderson in defence in the absence of Fabinho.
However, the Cameroon international had to be substituted at half-time of the 3-1 victory over Spurs with what Klopp later confirmed as ankle ligament damage.
With Virgil van Dijk and Joe Gomez long-term absentees and Fabinho struggling with another muscle problem, the Reds finished the match at Tottenham Hotspur Stadium with Henderson alongside the inexperienced Nat Phillips.
Klopp, though, is not prepared to sanction a new signing before the transfer window closes simply to add extra numbers to his squad.
"You can imagine that we think about everything, of course," he said. "We thought the whole time, we think the whole time, it's about doing the right thing.
"I'm not picky or whatever… but we need to find the right player. We have players still. Not a lot, to be honest, in the defence line it is incredible what's happening there, it's really incredible. But that's it."
Liverpool's convincing win over Jose Mourinho's men, delivered through goals from Roberto Firmino, Trent Alexander-Arnold and Sadio Mane, was just their second in eight games in all competitions.
Firmino's first-half opener ended a wait of 482 minutes for a Premier League goal, in which time the champions had attempted 93 shots without finding the net.
"I am completely happy about the performance and, yes, it's about the boys," Klopp said. "They put a proper shift in. It was a brave performance in a game against a counter-attacking monster, which they are and that makes it even more special. For tonight, it was really good."
The win moved Liverpool back into fourth place in the table, four points behind leaders Manchester City, who have a game in hand.