It will more likely be later in the week, because there are some tests that Hamilton still needs to pass. But he has been working out with Triple-A Round Rock and taking full batting practice.
Hamilton played in just seven games after being activated off the disabled list on May 25 and was 6-for-22 with two home runs and five RBIs. Hamilton, while recovering from shoulder surgery, played in 12 games on medical rehab assignment after being acquired from the Angels, but he most likely won't need nearly that long this time around.
Martin Perez, in the final stages of recovering from Tommy John elbow reconstruction surgery, is also close to resuming his medical rehab assignment.