Capps elected free agency, Baseball America reports.
Capps has made two appearances of short-season Tri-City this season, allowing one run on four hits and no walks and striking out three over two innings.
Capps (shoulder) will pitch in one of Sunday's split-squad games, AJ Cassavell of MLB.com reports.
Manager Andy Green said Thursday that Capps (shoulder) is "close to pitching in games," Bill Center of MLB.com reports.
Capps (shoulder) signed a one-year, $1,062,500 deal with the Padres on Wednesday, avoiding arbitration, Jon Heyman of FanRag Sports reports.
Capps had successful thoracic outlet syndrome surgery Saturday and is expected to be ready for spring training, AJ Cassavell of MLB.com reports.
Capps (blood clot) was placed on the 60-day DL on Tuesday.
Capps fired a pair of scoreless innings with three strikeouts in an 8-4 loss to the Cardinals on Tuesday.
Capps was charged with three runs over two-thirds of an inning in Monday's loss to Cincinnati.
Capps was recalled from Triple-A El Paso on Monday.