The 29-year-old Venters hasn’t pitched in the majors since 2012, a season after he made the NL All-Star team.
The Braves said Thursday that Dr. James Andrews had found the tear a day earlier. Venters had been doing light throwing in his comeback bid.
“They did an MRI and he re-tore it,” Braves manager Fredi Gonzalez said before the team’s game with the New York Mets. “One of the options is for him to have the third Tommy John.”
Venters previously had the elbow surgeries in 2005 and 2013.
Venters is 15-10 with six saves and a 2.23 ERA in three seasons with Atlanta. He led the majors with 85 appearances in 2011.