Beeks was removed from Tuesday's game against the Orioles with an elbow/forearm injury, Marc Topkin of the Tampa Bay Times reports.
The 27-year-old delivered 1.1 scoreless frames and was in line to secure the two-inning save before exiting the contest. The specifics of the injury remain unclear, but according to Topkin, some team officials fear he could be dealing with a UCL injury. Beeks will likely be evaluated further Wednesday.