Kopech will serve as the Dodgers' opener for Game 6 of the NLCS against the Mets on Sunday, Noah Camras of DodgersNation.com reports.
Kopech picked up the save over the Padres on Wednesday, allowing one walk over a scoreless ninth inning while striking out one.
Kopech (6-8) got the win over Atlanta on Sunday, allowing one hit and one walk while striking out two in a scoreless inning.
Kopech picked up the save over the Cubs on Wednesday, allowing one run on three walks over one inning while striking out one.
Kopech picked up the save over the Orioles on Thursday, striking out two over a perfect ninth inning.
Dodgers manager Dave Roberts said Sunday that Kopech is "gassed" and will be held out from pitching for a few days, Fabian Ardaya of The Athletic reports.
Kopech earned a hold against the Brewers on Monday, walking one batter and striking out two in a scoreless inning.
The Dodgers acquired Kopech from the White Sox on Monday in the three-team trade involving the Cardinals, Jon Heyman of the New York Post reports.
Kopech earned the save in the opening game of Wednesday's doubleheader against the Twins, striking out the side in a perfect ninth inning.
Kopech gave up a run on two hits and a walk over 1.1 innings Friday to record his eighth save of the season in a 3-2 win over the Marlins. He struck out one.