Hall (pectoral) threw a 20-pitch live batting practice session Thursday, Todd Rosiak of the Milwaukee Journal Sentinel reports.
Hall reached up to 95-to-96 mph with his fastball in the session and threw all of his pitches. The left-hander could begin a rehab assignment as soon as Sunday and believes he will be ready to rejoin the Milwaukee bullpen after making 2-to-3 rehab appearances in the minors. Hall has been shelved since early June with a left pectoral strain.