Lovelady's (forearm) rehab assignment was transferred to Triple-A Durham on Tuesday, Steve Carney of StPeteNine.com reports.
Lovelady made his first rehab appearance Monday with the Rays' Florida Complex League affiliate, but he yielded four runs over two-thirds of an inning before being pulled. Still, he'll be bumped up to Durham to continue his rehab from a strained left forearm.