WASHINGTON -- Zack Greinke won't be the only Brewers player busy rehabbing on Tuesday. While Greinke pitches for Class A Brevard County, right fielder Corey Hart expects to begin playing for Triple-A Nashville as he continues his comeback from a rib-cage strain.

Hart took batting practice with the Brewers again on Friday at Nationals Park and is scheduled to continue doing so through Monday afternoon in Philadelphia. He'll then catch a late flight to New Orleans, where the Triple-A Sounds begin a four-game series on Tuesday night.

Hart will build up endurance through that series and Nashville's subsequent four-game series at home against Omaha from April 23-26. If all goes well, the Brewers could then decide whether to activate Hart for an April 27 series finale against the Reds or wait until April 29, when they begin a road series in Houston.

"That's kind of the target," Hart said. "It's been a lot longer than I want, but it's still coming. I think a lot of it is to make sure that when I come back, I don't have to be timid. I can just go out there and play every day and not have to worry about it."

Hart is not longer feeling discomfort along his left side, where he strained an oblique muscle in a Feb. 26 outfield drill.

Greinke ticketed for Minors rehab assignment

WASHINGTON -- After passing his latest test, Zack Greinke is ready to pitch.

Greinke, whose Brewers debut has been delayed by a cracked left rib, threw a second simulated game on Friday afternoon at Nationals Park and was deemed fit to begin a Minor League rehabilitation assignment next week. He's scheduled to make a 30-35 pitch start on Tuesday for Class A Brevard County against Tampa.

"It might not be the sharpest or the best," Greinke said, "but we'll be ready. I feel like I can execute stuff and get the endurance, and hopefully get ready."

Brevard County is off five days after Greinke's scheduled start, so the Brewers would probably boost him to Triple-A Nashville for an April 24 start of about 50 pitches and perhaps an April 29 start of about 70 pitches. Manager Ron Roenicke said he expects Grienke to make "at least three" starts in the Minor Leagues before joining the Brewers.

"They don't want me to come in and pitch three to four innings and not be ready," Greinke said.

If he does make three starts and stays on a regular schedule to pitch April 19, 24 and 29, Greinke could be ready for a Brewers debut on May 4 in Atlanta and a Miller Park debut on May 9 against the Padres.

That bit of prognosticating comes with the usual disclaimer: The Brewers' medical staff will make decisions based on how Greinke feels after each step.

He took the latest step Friday, when Greinke took the mound just before 3 p.m. ET and pitched to teammates Mark Kotsay, George Kottraras and Erick Almonte. Greinke threw a pair of 15-pitch simulated innings and used his full arsenal.

"I threw a lot of strikes," Greinke said. "I threw strikes with the off-speed, located in and out pretty good. It was pretty good, all around."

Group of Brewers visit Walter Reed Medical Center

WASHINGTON -- A contingent of Brewers led by TV analyst Bill Schroeder made their annual visit to Walter Reed Army Medical Center on Friday morning and spent time in the facility's rehabilitation wing. It was a humbling experience, reliever Mitch Stetter said.

"It's like you don't know what to say, but you can tell they really get into their story about what happened," Stetter said. "It's just amazing, their positive attitudes considering what they've been through. Every single guy was working hard, and working without arms and legs. I talked to a kid who was 19 who had just got there and was at the beginning of a long process, another who was 21. ... It puts life in perspective."

Schroeder has organized similar trips in past visits to Washington D.C. His broadcast partner, Brian Anderson, was part of Friday's group along with Hall of Fame radio man Bob Uecker and relievers Stetter, Brandon Kintzler and Sean Green, catcher Jonathan Lucroy and media relations director Mike Vassallo.