Tampa Bay designated Burdi for assignment Wednesday, Tricia Whitaker of Bally Sports Sun reports.
The move clears a spot on the 40-man roster for right-hander Chase Anderson, whom Tampa Bay acquired in a trade with Cincinnati earlier Wednesday. Burdi didn't allow a run in his two appearances with the Rays before being optioned back to Triple-A Durham last week. He'll stick around at Durham unless another team puts in a waiver claim for him.