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6/18/2013 8:36 P.M. ET

Schumaker awaiting word on appeal

NEW YORK -- Now that the Dodgers are in New York, Skip Schumaker's appeal of a two-game suspension should be resolved, right?

"Haven't heard a word," said Schumaker. "Not on [Monday's] off-day, either."

Schumaker was handed a two-game suspension by MLB for "aggressive actions" in the benches-clearing incident after Arizona's Ian Kennedy hit Zack Greinke with a pitch near his neck a week ago, but Schumaker said replays will show that he was playing peacemaker.

Schumaker's actions might have been misinterpreted because, as the on-deck hitter, he was already on the field and appeared on the scene faster than the other Dodgers.

Kemp reports improvement with hamstring

NEW YORK -- After aggressive running drills on the warning track on Tuesday afternoon before the series opener with the Yankees was postponed by rain, outfielder Matt Kemp reported that his strained right hamstring is improved and that he might try to run the bases on Wednesday.

Kemp, out since May 30, needs to be able to run the bases before the Dodgers send him on a Minor League rehab assignment, which would be the final step before his return to the club.

It was when he was running the bases more than a week ago that Kemp felt the hamstring tighten and had to back off.

"Matt said he was great today, and we'll push him more tomorrow," said manager Don Mattingly. "If that goes good, by the time we leave San Diego [on Sunday], I'm hoping Matt can play in a rehab setting at least three or four days."

That would put Kemp's return to the lineup no sooner than the Phillies series at the end of the month.

In addition, Carl Crawford continues to improve from his strained left hamstring, able to run straight but feeling discomfort on turns.

"I assume Carl is behind Matt," Mattingly said.

Ken Gurnick is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.