Alonso has been on the disabled list since June 1 with a right hand contusion suffered when he was hit by a pitch there on May 31. The Padres are hoping he can start baseball activities by next week.
"Start playing some catch and doing some strength exercises, and from there, maybe get in the batting cage," Padres manager Bud Black said.
Alonso's return would add a huge presence to the middle of the Padres' order. Alonso is hitting .284 with 54 hits and 29 RBIs.
Jamal Collier is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.