Triple-A Syracuse placed Lambert on the 7-day injured list June 4 due to an unspecified injury.
Lambert, 23, has struck out one-third of the batters he's faced this season, but a bloated 18.7 percent walk rate played a big part in him submitting an inflated 6.19 ERA and 1.62 over 16 innings at Triple-A. He's without a clear timeline to return to action for Syracuse.