"There was still some inflammation in the elbow," Marlins president of baseball operations Larry Beinfest said.
The surgery, which will be performed by Dr. James Andrews, is expected to take place sometime next week.
Ceda, a hard-throwing right-hander, was officially placed on the 15-day disabled list on Wednesday.
Ceda was enjoying a strong Spring Training, and he was in position to make the Opening Night roster. But his arm tightened after throwing two innings against the Braves in Lake Buena Vista, Fla., on March 22.
Ceda has a ligament tear that will require reconstructive surgery. He will miss the entire season, and the team is hopeful he will return in 2013.