He is expected to miss all of next season while recovering from the surgery.
Skaggs said Sunday he chose surgery over rehabilitation because he thinks it's the best thing for his career. He said he doesn't plan to try to pitch late next season, instead coming back fresh for 2016.
He was hurt July 31 in a 1-0, 13-inning win at Baltimore. The left-hander had not allowed a hit when he left with two outs in the fifth.
Skaggs, 23, was 5-5 with 4.30 ERA in 18 starts this season.
Skaggs, who already was on the 15-day disabled list, was transferred to the 60-day DL on Sunday.
The Associated Press contributed to this report.