The striker was due to begin the contest, but was withdrawn from the line-up during the warm-up as a precautionary measure.
Origi was replaced in the XI by Dominic Solanke.
Speaking after the game, manager Jürgen Klopp said: "He felt just a cramp, it was pretty much the same as what Dejan [Lovren] felt before the game and that's why we said, 'Thank you, no risk today'."