Condrey, 34, suffered an inflamed flexor tendon in spring training.
Condrey threw one inning Friday in an extended Spring Training game. He threw 13 pitches, and then seven more in the bullpen.
The next step is for him pitch two innings on Sunday.
Condrey was a member of the Phillies for the past four seasons, including the 2008 World Series championship team.
Meanwhile, Twins manager Ron Gardenhire updated the progress of shortstop J.J. Hardy, who is recovering from a sore left wrist.
"J.J. took some light swings off the tee and feels good," Gardenhire said. "He's progressing nicely. We have no timetable yet."
And infielder Alexi Casilla, on the way back from surgery to remove bone chips in his right elbow, played catch and took some swings in the batting cage, according to Gardenhire.