Kershaw will get the nod instead of Ricky Nolasco. Kershaw is pitching on three days rest for the second time in his career.
The Dodgers lead the series two games to one after winning Game 3 last night.
"Whatever decision they make is going to be the best decision for the team," Nolasco told the Dodgers' official website before the decision was made to start Kershaw. "So I'm with whatever. They're the ones who get paid to make those decisions. So I'll be here ready to take the ball whenever they ask me to pitch."