Soria loosened up on flat ground, throwing from various distances, and didn't take the mound for the test of his strained right rotator cuff.
"It feels pretty good. I just played catch and it feels good," he said.
Soria said he'd wait to see how his shoulder felt on Wednesday before deciding on his next step. He is eligible to come off the disabled list Saturday.
"He's moving along and not having the usual soreness with the weight resistance in his exercises, so that's a good sign," manager Trey Hillman said.
Shortstop Mike Aviles was held out of the lineup for the fourth straight game on Tuesday night because of a strained right forearm. He was to give the arm a rigorous test during batting practice and see how it felt with an eye toward Wednesday night's game.
"If it feels OK, we'll probably get him going again tomorrow," Hillman said.
Hillman had Willie Bloomquist at shortstop on Tuesday night against the Indians.
"Trey doesn't want me to go in there cold turkey, which makes sense," Aviles said.
Dick Kaegel is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.