Beliveau, who was recalled Tuesday to take injured Matt Moore's roster spot, pitched a scoreless seventh inning Wednesday, allowing no baserunners while striking out one.
Rays manager Joe Maddon said that the Rays will be adding a position player. Given the fact the Rays are extremely right-handed offensively, Maddon speculated that the player brought up would likely hit left-handed.
"We're very right-handed right now, so this is something we knew coming out of Spring Training," Maddon said. "Probably if we do go position player, I'd like it to be left-handed."