Chicago White Sox shortstop Tim Anderson. Wendell Cruz-USA TODAY Sports

As the injury bug continues to bite the White Sox, Tim Anderson is at least nearing a return. Manager Tony La Russa told reporters (including MLB.com’s Scott Merkin) that Anderson is scheduled to begin a Triple-A rehab assignment on Tuesday. Anderson suffered a groin strain in Chicago’s May 29 game, and at the time, La Russa estimated the star shortstop would need about three weeks of recovery time. This rehab assignment would seemingly put Anderson right on track to match or even beat that projection.

The South Side would love to have Anderson back as soon as possible, given how he was on pace for possibly the best season of his already-standout career. Anderson hit .356/.393/.503 with five home runs over his first 173 plate appearances, plus a perfect 8-for-8 mark in stealing bases. With Eloy Jimenez still on the IL and Yasmani Grandal now nursing a sore hamstring, Anderson’s return is a much-needed boost for a struggling White Sox lineup.

More injury updates from around the American League …

  • Tigers manager A.J. Hinch told The Detroit News’ Chris McCosky and other reporters that Tyler Alexander (elbow sprain) could be activated from the 15-day IL as soon as Tuesday, though the team hasn’t yet decided on Alexander’s next step after the southpaw has seemingly completed his rehab work. Eduardo Rodriguez (ribcage sprain) was tentatively slated to return from his own rehab assignment this week, but that timeline is now up in the air since Rodriguez is away on a personal matter. Meanwhile, reliever Jose Cisnero (shoulder strain) was about to begin his own rehab assignment but has now been shut down for two weeks due to soreness in his right Achilles tendon.
  • For the first since suffering a lower-leg injury almost a month ago, Jake Odorizzi joined the Astros’ other pitchers in fielding drills Sunday. Manager Dusty Baker told FOX 26’s Mark Berman and other reporters that Odorizzi’s return to these drills is “kind of like the final hurdle” in determining the right-hander’s readiness. The next step is gradually bringing Odorizzi along, as the pitcher told Berman and company that he was going at around “50-60%” in his first workout, and he’ll continue to slowly ramp up.
  • Matt Chapman has missed the Blue Jays’ last two games due to a sore right wrist. Manager Charlie Montoyo told Sportsnet’s Ben Nicholson-Smith and other reporters that Chapman “couldn’t even pinch-hit Sunday,” though the third baseman is still considered day-to-day with the injury. Imaging hasn’t yet been done on Chapman’s wrist, which Nicholson-Smith notes is an indication that the Jays believe the injury isn’t too serious.

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