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4/10/2013 12:52 P.M. ET

Jeter takes batting practice; Granderson progressing

TAMPA, Fla. -- A day after running on the field, Yankees captain Derek Jeter hit on the field Wednesday for the first time since March 23.

Jeter took batting practice, fielded ground balls, threw to first base and ran three "arcs" in the outfield grass at the Yankees' Minor League complex Wednesday morning. Jeter ran a few sprints on the field Tuesday, which Yankees manager Joe Girardi considered a "big step" as Jeter continues to test his surgically repaired left ankle.

After going through four rounds of batting practice, Jeter played catch for a few minutes then moved to the infield grass to field 11 ground balls. He stepped back into the dirt and fielded about 40 more grounders at shortstop, moving a few steps to each side and making throws to first base for the first time.

Jeter then ran on the field for the second straight day, running back and forth three times between the foul lines on the shallow outfield grass, and walked off the field. He didn't appear to be running full speed.

Jeter hasn't played in a game since March 23, when he had four at-bats as the designated hitter in a Minor League game before experiencing soreness in his ankle. The Yankees haven't given a timetable for his return.

While Jeter took batting practice, Curtis Granderson was in center field tracking line drives and fly balls and flipping the balls back underhanded. Granderson, still wearing a brace on his fractured right forearm, said he should be able to start a throwing program Thursday, but he hasn't received final clearance to do so after undergoing follow-up X-rays on Tuesday.

Contrary to what Girardi said Tuesday, Granderson did not take any underwater swings Wednesday. Granderson was pleased with his progress so far, however, and hopes to start swinging a fungo bat this weekend.

"Everything's looking good," Granderson said.

Adam Berry is a reporter for MLB.com. Follow him on Twitter at @adamdberry. This story was not subject to the approval of Major League Baseball or its clubs.