Greinke threw 38 pitches Sunday and said he felt good. The session was his first since his right elbow was injected in Los Angeles with platelet-rich plasma.
He said he threw all of his pitches.
Greinke missed a bullpen session March 3 because of discomfort in the elbow and he was scratched from a start March 6 because of flu-like symptoms. In all, Greinke has pitched just five innings in two starts this spring.
Greinke, who signed a six-year, $147 million contract Dec. 9, is projected to be the Dodgers' No. 2 starter. But it's not clear whether he'll be ready for his first scheduled start April 2 against San Francisco at Dodger Stadium.
"I'm assuming it's going to be fine and that I'm on track," he said. "But I'm not sure."
The Dodgers are waiting to see how his elbow feels Monday.
"Then, we'll be able to get a better indication of where we're going, whether he's sore or not," Dodgers manager Don Mattingly said.