"I'm hoping so, if everything goes right, the way we planned it," pitching coach Rick Kranitz said.
Mound work would mark a major milestone for Greinke because it would allow the Brewers to project his return to the starting rotation. He missed most of Spring Training after cracking a left rib playing pickup basketball.
But he is still weeks away from his Brewers debut. The typical pitcher throws about 10 days' worth of mound sessions before appearing in a Spring Training game, then makes five or six exhibition starts before he's ready to pitch in the regular season. Even if Greinke takes a more accelerated path, he's unlikely to pitch for the Brewers in April.
On Sunday, he played long toss and then came back in to about 60 feet and threw to bullpen coach Stan Kyles, who crouched like a catcher.
"The main thing is him feeling good," Kranitz said.
"Roger [Caplinger, Milwaukee's head athletic trainer] is still going to be cautious with him," manager Ron Roenicke said. "Just because the side feels better, you still have to be careful with the arm."