Burrows is on Triple-A Indianapolis' 7-day injured list with right shoulder inflammation, Justice delos Santos of MLB.com reports.
Burrows has a 4.10 ERA, 1.24 WHIP and 42:11 K:BB over 41.2 innings for Indianapolis this season but has been unavailable the past couple weeks due to the shoulder issue. The 22-year-old has yet to be ruled out for the season, though it's unclear when he's expected back on the mound.