Moore (elbow) threw off a mound Tuesday and was pleased with how it went, Marc Topkin of the Tampa Bay Times reports. Tuesday's mound session marked Moore's first since undergoing Tommy John surgery in April. It represents a big step forward in the lefty's recovery and it appears he's on track to return at some point in June, though the team figures to proceed with caution in the months ahead. Moore went 17-4 with a 3.29 ERA, 1.29 WHIP and 8.6 K/9 as a 24-year-old in 2013.