The attacking midfielder could miss the rest of the season - including the Champions League final - due to a thigh injury picked up against Real Madrid on Tuesday night
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It's not yet exactly known how long the 20-year-old will be out of action due to the knock, but Klopp believes Gotze could face a race against time in order to be match fit for the Champions League final on May 25.
"Mario picked up a muscle strain. It's going to be race against time for the things to come," Klopp was quoted as saying on the club's official website.
Gotze is expected to undergo a series of tests once Dortmund return to Germany after Tuesday's match at the Santiago Bernabeu.
The attacking midfielder will certainly miss this weekend's Bundesliga game at home against Bayern.