Burdi, 26, is 0-2 with a 5.59 ERA and 13 strikeouts over 9 2⁄3 relief innings this season at Charlotte.
Eaton, 32, has been struggling at the plate after a good start in April, hitting .147 with two homers his last 34 games.
He’s played through it, there’s some times we’ve had to back him off.
Eaton’s injury means the entire projected starting outfield coming out of spring training is on the IL, with Eloy Jimenez and and Luis Robert out for at least another month.