Megill was placed on the 15-day injured list Sunday with a right shoulder impingement, Brandon Warne of Access Twins reports.
The right-hander hasn't pitched since June 14, so it's unclear when exactly he picked up the injury. Megill has a 2.08 ERA, 1.08 WHIP and 15:5 K:BB across 13 innings this season but will now be unavailable for at least the next couple weeks.