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8/10/2014 4:13 P.M. ET

Amaro believes Adams could return in September

On DL with rotator cuff inflammation, veteran reliever long-tossing in Florida

PHILADELPHIA -- Phillies right-hander Mike Adams had been pitching well before he landed on the disabled list June 7 with right rotator cuff inflammation.

His return is not imminent, but Phillies general manager Ruben Amaro Jr. said the organization believes Adams can pitch again in September. Adams, who had a 2.12 ERA in 19 appearances, has been long-tossing in Clearwater, Fla., but had been scheduled to throw a bullpen session Sunday.

Adams is in the final year of a two-year, $12 million contract. He has a $6 million club option for 2015 that vests automatically if he throws 60 innings this season. The option jumps to $6.5 million if he throws 120 innings in 2013-14.

Neither will happen. He has thrown just 42 innings over the past two seasons.

Phils claim Williams, designate O'Sullivan

PHILADELPHIA -- The Phillies on Sunday claimed right-hander Jerome Williams off waivers from the Rangers.

Williams, 32, went 2-5 with a 6.71 ERA in 28 games this season with Houston and Texas. He is 44-52 with a 4.51 ERA in nine seasons with the Giants, Cubs, Nationals, Angels, Astros and Rangers.

The Phillies designed right-hander Sean O'Sullivan for assignment to make room for Williams on the 25-man roster. O'Sullivan had been scheduled to start Tuesday against the Angels in Anaheim. Williams presumably will take his place in the rotation, although it is unclear if he will start Tuesday.

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