Blue Jays injury updates: Kirk inching closer to rehab assignment, Scherzer to face live hitters, Barger hasn’t begun throwing progression yet and more

Alejandro Kirk could head out on a rehab assignment in the next week or so. The 27-year-old Kirk, sidelined since early April due to a fractured left thumb, continues to make progress in Toronto after rejoining the Blue Jays over the weekend. He had previously been recovering at the player development complex in Dunedin, Fla.,…