Sturridge started the League Cup final at London’s Wembley Stadium on Sunday evening and played until the very end.
Given that the England international is a striker, many would have expected him to take a penalty during the shootout.
However, the former Chelsea man was not involved, and Klopp has explained why on Liverpool's offiical Twitter page.
The 26-year-old former City man had cramps, according to the Liverpool manager, who has also revealed that midfielder James Milner would have taken the fifth penalty.
JK: "There was no chance [for a Sturridge penalty] he had cramps. Everyone who was available took one." #LFC— Liverpool FC (@LFC) February 28, 2016
Klopp reveals James Milner would have taken #LFC's fifth penalty— Liverpool FC (@LFC) February 28, 2016
In what eventually turned out to be a great match, City took the lead just four minutes into the second half through Fernandinho.
Philippe Coutinho equalised for Liverpool in the 83rd minute, as the game went into extra time and eventually to penalties.
City goalkeeper Willy Caballero turned on the style during the shootout, as he made as many as three saves to help Manuel Pellegrini’s side to a 3-1 win.