Allard was removed in the second inning of Sunday's 8-1 loss to the Chicago White Sox. He told manager Brian Snitker he felt "some tingling in his fingers" after throwing a pitch.
"I just noticed him moving his arm and his shoulder and something didn't look right," Snitker said following the game.
Allard allowed four runs on seven hits in 1⅓ innings and has a 6.57 ERA in four games, including three starts.
The Braves recalled outfielder Forrest Wall, 27, from Triple-A Gwinnett before Monday night's series opener against the Arizona Diamondbacks.