Manager Don Mattingly said Blake had discomfort radiating down his arm, usually an indication of a nerve being pinched by a disk.
"It's all part of the same," said Mattingly.
The 37-year-old Blake has been on the DL three times this year with three different ailments.
Shortstop Dee Gordon continued his recovery from a bruised right shoulder and Mattingly said he would likely play a game or two on a Minor League rehab assignment but should be ready to return around Aug. 26, when he's eligible to be activated from the 15-day disabled list.
Juan Uribe is expected to resume baseball activities following a cortisone injection deep into a lower abdominal muscle. He's been on the DL since July 24.
With all the injuries, Mattingly started three utility players in the infield -- Aaron Miles at third base, Jamey Carroll at second base and Justin Sellers at shortstop.
Kenley Jansen is scheduled for rehab appearances Sunday and Tuesday for Class A Rancho Cucamonga. He has been out with an irregular heartbeat that required blood thinners, which he came off Friday. The blood thinners made it too dangerous to participate in game action.
Mattingly said there was no indication whether Jonathan Broxton will return before the season ends. Broxton just resumed playing catch and has been on the DL since May 4 with a bruised elbow.